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Finding the Fourth Proportional to 1,932.71, 2,665.17 and 1,653.86

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Solution

The fourth proportional to 1,932.71, 2,665.17 and 1,653.86 is: 2,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.71 : 2,665.17 = 1,653.86 : x
  2. Step 2: Convert to fraction form
    1,932.71/2,665.17 = 1,653.86/x
  3. Step 3: Cross multiply
    1,932.71x = 2,665.17 × 1,653.86
  4. Step 4: Simplify right side
    1,932.71x = 4,407,824.72
  5. Step 5: Solve for x
    x = 4,407,824.72/1,932.71
  6. Step 6: Final answer
    x = 2,280.65

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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.