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Finding the Fourth Proportional to 3,251.10, 4,877.17 and 1,402.74

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Solution

The fourth proportional to 3,251.10, 4,877.17 and 1,402.74 is: 2,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.10 : 4,877.17 = 1,402.74 : x
  2. Step 2: Convert to fraction form
    3,251.10/4,877.17 = 1,402.74/x
  3. Step 3: Cross multiply
    3,251.10x = 4,877.17 × 1,402.74
  4. Step 4: Simplify right side
    3,251.10x = 6,841,401.45
  5. Step 5: Solve for x
    x = 6,841,401.45/3,251.10
  6. Step 6: Final answer
    x = 2,104.33

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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.