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Finding the Fourth Proportional to 2,542.61, 3,813.39 and 899.21

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Solution

The fourth proportional to 2,542.61, 3,813.39 and 899.21 is: 1,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.61 : 3,813.39 = 899.21 : x
  2. Step 2: Convert to fraction form
    2,542.61/3,813.39 = 899.21/x
  3. Step 3: Cross multiply
    2,542.61x = 3,813.39 × 899.21
  4. Step 4: Simplify right side
    2,542.61x = 3,429,019.35
  5. Step 5: Solve for x
    x = 3,429,019.35/2,542.61
  6. Step 6: Final answer
    x = 1,348.62

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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.