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Finding the Fourth Proportional to 2,902.60, 4,332.65 and 2,494.36

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Solution

The fourth proportional to 2,902.60, 4,332.65 and 2,494.36 is: 3,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.60 : 4,332.65 = 2,494.36 : x
  2. Step 2: Convert to fraction form
    2,902.60/4,332.65 = 2,494.36/x
  3. Step 3: Cross multiply
    2,902.60x = 4,332.65 × 2,494.36
  4. Step 4: Simplify right side
    2,902.60x = 10,807,188.85
  5. Step 5: Solve for x
    x = 10,807,188.85/2,902.60
  6. Step 6: Final answer
    x = 3,723.28

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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.