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Finding the Fourth Proportional to 2,710.47, 4,066.02 and 861.24

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Solution

The fourth proportional to 2,710.47, 4,066.02 and 861.24 is: 1,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.47 : 4,066.02 = 861.24 : x
  2. Step 2: Convert to fraction form
    2,710.47/4,066.02 = 861.24/x
  3. Step 3: Cross multiply
    2,710.47x = 4,066.02 × 861.24
  4. Step 4: Simplify right side
    2,710.47x = 3,501,819.06
  5. Step 5: Solve for x
    x = 3,501,819.06/2,710.47
  6. Step 6: Final answer
    x = 1,291.96

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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.