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Finding the Fourth Proportional to 1,686.68, 2,327.54 and 940.70

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Solution

The fourth proportional to 1,686.68, 2,327.54 and 940.70 is: 1,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.68 : 2,327.54 = 940.70 : x
  2. Step 2: Convert to fraction form
    1,686.68/2,327.54 = 940.70/x
  3. Step 3: Cross multiply
    1,686.68x = 2,327.54 × 940.70
  4. Step 4: Simplify right side
    1,686.68x = 2,189,512.17
  5. Step 5: Solve for x
    x = 2,189,512.17/1,686.68
  6. Step 6: Final answer
    x = 1,298.12

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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.