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Finding the Fourth Proportional to 2,513.62, 3,765.97 and 1,049.55

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Solution

The fourth proportional to 2,513.62, 3,765.97 and 1,049.55 is: 1,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.62 : 3,765.97 = 1,049.55 : x
  2. Step 2: Convert to fraction form
    2,513.62/3,765.97 = 1,049.55/x
  3. Step 3: Cross multiply
    2,513.62x = 3,765.97 × 1,049.55
  4. Step 4: Simplify right side
    2,513.62x = 3,952,573.81
  5. Step 5: Solve for x
    x = 3,952,573.81/2,513.62
  6. Step 6: Final answer
    x = 1,572.46

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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.