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Finding the Fourth Proportional to 2,540.87, 3,792.70 and 2,347.10

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Solution

The fourth proportional to 2,540.87, 3,792.70 and 2,347.10 is: 3,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.87 : 3,792.70 = 2,347.10 : x
  2. Step 2: Convert to fraction form
    2,540.87/3,792.70 = 2,347.10/x
  3. Step 3: Cross multiply
    2,540.87x = 3,792.70 × 2,347.10
  4. Step 4: Simplify right side
    2,540.87x = 8,901,844.36
  5. Step 5: Solve for x
    x = 8,901,844.36/2,540.87
  6. Step 6: Final answer
    x = 3,503.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.