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Finding the Fourth Proportional to 2,509.61, 3,757.46 and 1,633.12

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Solution

The fourth proportional to 2,509.61, 3,757.46 and 1,633.12 is: 2,445.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.61 : 3,757.46 = 1,633.12 : x
  2. Step 2: Convert to fraction form
    2,509.61/3,757.46 = 1,633.12/x
  3. Step 3: Cross multiply
    2,509.61x = 3,757.46 × 1,633.12
  4. Step 4: Simplify right side
    2,509.61x = 6,136,365.52
  5. Step 5: Solve for x
    x = 6,136,365.52/2,509.61
  6. Step 6: Final answer
    x = 2,445.15

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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.