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Finding the Fourth Proportional to 1,420.74, 2,128.88 and 932.72

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Solution

The fourth proportional to 1,420.74, 2,128.88 and 932.72 is: 1,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.74 : 2,128.88 = 932.72 : x
  2. Step 2: Convert to fraction form
    1,420.74/2,128.88 = 932.72/x
  3. Step 3: Cross multiply
    1,420.74x = 2,128.88 × 932.72
  4. Step 4: Simplify right side
    1,420.74x = 1,985,640.64
  5. Step 5: Solve for x
    x = 1,985,640.64/1,420.74
  6. Step 6: Final answer
    x = 1,397.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.