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Finding the Fourth Proportional to 1,678.62, 2,316.50 and 932.56

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Solution

The fourth proportional to 1,678.62, 2,316.50 and 932.56 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.62 : 2,316.50 = 932.56 : x
  2. Step 2: Convert to fraction form
    1,678.62/2,316.50 = 932.56/x
  3. Step 3: Cross multiply
    1,678.62x = 2,316.50 × 932.56
  4. Step 4: Simplify right side
    1,678.62x = 2,160,275.24
  5. Step 5: Solve for x
    x = 2,160,275.24/1,678.62
  6. Step 6: Final answer
    x = 1,286.94

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