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Finding the Fourth Proportional to 2,605.29, 3,887.74 and 2,372.46

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Solution

The fourth proportional to 2,605.29, 3,887.74 and 2,372.46 is: 3,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.29 : 3,887.74 = 2,372.46 : x
  2. Step 2: Convert to fraction form
    2,605.29/3,887.74 = 2,372.46/x
  3. Step 3: Cross multiply
    2,605.29x = 3,887.74 × 2,372.46
  4. Step 4: Simplify right side
    2,605.29x = 9,223,501.71
  5. Step 5: Solve for x
    x = 9,223,501.71/2,605.29
  6. Step 6: Final answer
    x = 3,540.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.