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Finding the Fourth Proportional to 1,402.72, 2,103.12 and 671.52

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Solution

The fourth proportional to 1,402.72, 2,103.12 and 671.52 is: 1,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.72 : 2,103.12 = 671.52 : x
  2. Step 2: Convert to fraction form
    1,402.72/2,103.12 = 671.52/x
  3. Step 3: Cross multiply
    1,402.72x = 2,103.12 × 671.52
  4. Step 4: Simplify right side
    1,402.72x = 1,412,287.14
  5. Step 5: Solve for x
    x = 1,412,287.14/1,402.72
  6. Step 6: Final answer
    x = 1,006.82

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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.