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Finding the Fourth Proportional to 2,605.14, 3,901.32 and 1,825.92

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Solution

The fourth proportional to 2,605.14, 3,901.32 and 1,825.92 is: 2,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.14 : 3,901.32 = 1,825.92 : x
  2. Step 2: Convert to fraction form
    2,605.14/3,901.32 = 1,825.92/x
  3. Step 3: Cross multiply
    2,605.14x = 3,901.32 × 1,825.92
  4. Step 4: Simplify right side
    2,605.14x = 7,123,498.21
  5. Step 5: Solve for x
    x = 7,123,498.21/2,605.14
  6. Step 6: Final answer
    x = 2,734.40

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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.