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Finding the Fourth Proportional to 1,520.44, 2,280.39 and 424.92

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Solution

The fourth proportional to 1,520.44, 2,280.39 and 424.92 is: 637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.44 : 2,280.39 = 424.92 : x
  2. Step 2: Convert to fraction form
    1,520.44/2,280.39 = 424.92/x
  3. Step 3: Cross multiply
    1,520.44x = 2,280.39 × 424.92
  4. Step 4: Simplify right side
    1,520.44x = 968,971.92
  5. Step 5: Solve for x
    x = 968,971.92/1,520.44
  6. Step 6: Final answer
    x = 637.30

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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.