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Finding the Fourth Proportional to 1,876.48, 2,588.24 and 1,522.41

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Solution

The fourth proportional to 1,876.48, 2,588.24 and 1,522.41 is: 2,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.48 : 2,588.24 = 1,522.41 : x
  2. Step 2: Convert to fraction form
    1,876.48/2,588.24 = 1,522.41/x
  3. Step 3: Cross multiply
    1,876.48x = 2,588.24 × 1,522.41
  4. Step 4: Simplify right side
    1,876.48x = 3,940,354.85
  5. Step 5: Solve for x
    x = 3,940,354.85/1,876.48
  6. Step 6: Final answer
    x = 2,099.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.