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Finding the Fourth Proportional to 2,434.80, 3,645.72 and 2,024.40

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Solution

The fourth proportional to 2,434.80, 3,645.72 and 2,024.40 is: 3,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.80 : 3,645.72 = 2,024.40 : x
  2. Step 2: Convert to fraction form
    2,434.80/3,645.72 = 2,024.40/x
  3. Step 3: Cross multiply
    2,434.80x = 3,645.72 × 2,024.40
  4. Step 4: Simplify right side
    2,434.80x = 7,380,395.57
  5. Step 5: Solve for x
    x = 7,380,395.57/2,434.80
  6. Step 6: Final answer
    x = 3,031.21

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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.