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Finding the Fourth Proportional to 2,494.40, 3,733.92 and 2,340.80

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Solution

The fourth proportional to 2,494.40, 3,733.92 and 2,340.80 is: 3,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.40 : 3,733.92 = 2,340.80 : x
  2. Step 2: Convert to fraction form
    2,494.40/3,733.92 = 2,340.80/x
  3. Step 3: Cross multiply
    2,494.40x = 3,733.92 × 2,340.80
  4. Step 4: Simplify right side
    2,494.40x = 8,740,359.94
  5. Step 5: Solve for x
    x = 8,740,359.94/2,494.40
  6. Step 6: Final answer
    x = 3,503.99

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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.