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Finding the Fourth Proportional to 2,587.43, 3,874.97 and 1,489.49

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Solution

The fourth proportional to 2,587.43, 3,874.97 and 1,489.49 is: 2,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.43 : 3,874.97 = 1,489.49 : x
  2. Step 2: Convert to fraction form
    2,587.43/3,874.97 = 1,489.49/x
  3. Step 3: Cross multiply
    2,587.43x = 3,874.97 × 1,489.49
  4. Step 4: Simplify right side
    2,587.43x = 5,771,702.24
  5. Step 5: Solve for x
    x = 5,771,702.24/2,587.43
  6. Step 6: Final answer
    x = 2,230.67

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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.