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Finding the Fourth Proportional to 2,489.32, 3,733.98 and 2,346.76

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Solution

The fourth proportional to 2,489.32, 3,733.98 and 2,346.76 is: 3,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.32 : 3,733.98 = 2,346.76 : x
  2. Step 2: Convert to fraction form
    2,489.32/3,733.98 = 2,346.76/x
  3. Step 3: Cross multiply
    2,489.32x = 3,733.98 × 2,346.76
  4. Step 4: Simplify right side
    2,489.32x = 8,762,754.90
  5. Step 5: Solve for x
    x = 8,762,754.90/2,489.32
  6. Step 6: Final answer
    x = 3,520.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.