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Finding the Fourth Proportional to 1,686.20, 2,326.95 and 940.33

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Solution

The fourth proportional to 1,686.20, 2,326.95 and 940.33 is: 1,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.20 : 2,326.95 = 940.33 : x
  2. Step 2: Convert to fraction form
    1,686.20/2,326.95 = 940.33/x
  3. Step 3: Cross multiply
    1,686.20x = 2,326.95 × 940.33
  4. Step 4: Simplify right side
    1,686.20x = 2,188,095.08
  5. Step 5: Solve for x
    x = 2,188,095.08/1,686.20
  6. Step 6: Final answer
    x = 1,297.65

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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.