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Finding the Fourth Proportional to 2,542.85, 3,810.03 and 2,446.86

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Solution

The fourth proportional to 2,542.85, 3,810.03 and 2,446.86 is: 3,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.85 : 3,810.03 = 2,446.86 : x
  2. Step 2: Convert to fraction form
    2,542.85/3,810.03 = 2,446.86/x
  3. Step 3: Cross multiply
    2,542.85x = 3,810.03 × 2,446.86
  4. Step 4: Simplify right side
    2,542.85x = 9,322,610.01
  5. Step 5: Solve for x
    x = 9,322,610.01/2,542.85
  6. Step 6: Final answer
    x = 3,666.21

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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.