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Finding the Fourth Proportional to 1,594.97, 2,201 and 932.18

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Solution

The fourth proportional to 1,594.97, 2,201 and 932.18 is: 1,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.97 : 2,201 = 932.18 : x
  2. Step 2: Convert to fraction form
    1,594.97/2,201 = 932.18/x
  3. Step 3: Cross multiply
    1,594.97x = 2,201 × 932.18
  4. Step 4: Simplify right side
    1,594.97x = 2,051,728.18
  5. Step 5: Solve for x
    x = 2,051,728.18/1,594.97
  6. Step 6: Final answer
    x = 1,286.38

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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.