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Finding the Fourth Proportional to 3,024.55, 4,536.87 and 2,409.49

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Solution

The fourth proportional to 3,024.55, 4,536.87 and 2,409.49 is: 3,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.55 : 4,536.87 = 2,409.49 : x
  2. Step 2: Convert to fraction form
    3,024.55/4,536.87 = 2,409.49/x
  3. Step 3: Cross multiply
    3,024.55x = 4,536.87 × 2,409.49
  4. Step 4: Simplify right side
    3,024.55x = 10,931,542.90
  5. Step 5: Solve for x
    x = 10,931,542.90/3,024.55
  6. Step 6: Final answer
    x = 3,614.27

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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.