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Finding the Fourth Proportional to 1,695.86, 2,340.46 and 1,032.76

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Solution

The fourth proportional to 1,695.86, 2,340.46 and 1,032.76 is: 1,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.86 : 2,340.46 = 1,032.76 : x
  2. Step 2: Convert to fraction form
    1,695.86/2,340.46 = 1,032.76/x
  3. Step 3: Cross multiply
    1,695.86x = 2,340.46 × 1,032.76
  4. Step 4: Simplify right side
    1,695.86x = 2,417,133.47
  5. Step 5: Solve for x
    x = 2,417,133.47/1,695.86
  6. Step 6: Final answer
    x = 1,425.31

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.