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Finding the Fourth Proportional to 2,452.72, 3,677.93 and 891.63

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Solution

The fourth proportional to 2,452.72, 3,677.93 and 891.63 is: 1,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.72 : 3,677.93 = 891.63 : x
  2. Step 2: Convert to fraction form
    2,452.72/3,677.93 = 891.63/x
  3. Step 3: Cross multiply
    2,452.72x = 3,677.93 × 891.63
  4. Step 4: Simplify right side
    2,452.72x = 3,279,329.88
  5. Step 5: Solve for x
    x = 3,279,329.88/2,452.72
  6. Step 6: Final answer
    x = 1,337.02

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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.