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Finding the Fourth Proportional to 2,493.40, 3,736.90 and 2,337.88

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Solution

The fourth proportional to 2,493.40, 3,736.90 and 2,337.88 is: 3,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.40 : 3,736.90 = 2,337.88 : x
  2. Step 2: Convert to fraction form
    2,493.40/3,736.90 = 2,337.88/x
  3. Step 3: Cross multiply
    2,493.40x = 3,736.90 × 2,337.88
  4. Step 4: Simplify right side
    2,493.40x = 8,736,423.77
  5. Step 5: Solve for x
    x = 8,736,423.77/2,493.40
  6. Step 6: Final answer
    x = 3,503.82

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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.