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Finding the Fourth Proportional to 1,491.61, 2,059.45 and 932.35

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Solution

The fourth proportional to 1,491.61, 2,059.45 and 932.35 is: 1,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.61 : 2,059.45 = 932.35 : x
  2. Step 2: Convert to fraction form
    1,491.61/2,059.45 = 932.35/x
  3. Step 3: Cross multiply
    1,491.61x = 2,059.45 × 932.35
  4. Step 4: Simplify right side
    1,491.61x = 1,920,128.21
  5. Step 5: Solve for x
    x = 1,920,128.21/1,491.61
  6. Step 6: Final answer
    x = 1,287.29

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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.