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Finding the Fourth Proportional to 2,588.76, 3,882.24 and 1,402.56

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Solution

The fourth proportional to 2,588.76, 3,882.24 and 1,402.56 is: 2,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.76 : 3,882.24 = 1,402.56 : x
  2. Step 2: Convert to fraction form
    2,588.76/3,882.24 = 1,402.56/x
  3. Step 3: Cross multiply
    2,588.76x = 3,882.24 × 1,402.56
  4. Step 4: Simplify right side
    2,588.76x = 5,445,074.53
  5. Step 5: Solve for x
    x = 5,445,074.53/2,588.76
  6. Step 6: Final answer
    x = 2,103.35

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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.