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Finding the Fourth Proportional to 2,577.83, 3,869.17 and 1,346.12

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Solution

The fourth proportional to 2,577.83, 3,869.17 and 1,346.12 is: 2,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.83 : 3,869.17 = 1,346.12 : x
  2. Step 2: Convert to fraction form
    2,577.83/3,869.17 = 1,346.12/x
  3. Step 3: Cross multiply
    2,577.83x = 3,869.17 × 1,346.12
  4. Step 4: Simplify right side
    2,577.83x = 5,208,358.92
  5. Step 5: Solve for x
    x = 5,208,358.92/2,577.83
  6. Step 6: Final answer
    x = 2,020.45

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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.