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Finding the Fourth Proportional to 2,587.89, 3,882.51 and 945.81

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Solution

The fourth proportional to 2,587.89, 3,882.51 and 945.81 is: 1,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.89 : 3,882.51 = 945.81 : x
  2. Step 2: Convert to fraction form
    2,587.89/3,882.51 = 945.81/x
  3. Step 3: Cross multiply
    2,587.89x = 3,882.51 × 945.81
  4. Step 4: Simplify right side
    2,587.89x = 3,672,116.78
  5. Step 5: Solve for x
    x = 3,672,116.78/2,587.89
  6. Step 6: Final answer
    x = 1,418.96

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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.