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Finding the Fourth Proportional to 2,420.87, 3,630.62 and 1,542.09

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Solution

The fourth proportional to 2,420.87, 3,630.62 and 1,542.09 is: 2,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.87 : 3,630.62 = 1,542.09 : x
  2. Step 2: Convert to fraction form
    2,420.87/3,630.62 = 1,542.09/x
  3. Step 3: Cross multiply
    2,420.87x = 3,630.62 × 1,542.09
  4. Step 4: Simplify right side
    2,420.87x = 5,598,735.09
  5. Step 5: Solve for x
    x = 5,598,735.09/2,420.87
  6. Step 6: Final answer
    x = 2,312.70

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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.