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Finding the Fourth Proportional to 2,496.08, 3,739.08 and 2,291.96

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Solution

The fourth proportional to 2,496.08, 3,739.08 and 2,291.96 is: 3,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.08 : 3,739.08 = 2,291.96 : x
  2. Step 2: Convert to fraction form
    2,496.08/3,739.08 = 2,291.96/x
  3. Step 3: Cross multiply
    2,496.08x = 3,739.08 × 2,291.96
  4. Step 4: Simplify right side
    2,496.08x = 8,569,821.80
  5. Step 5: Solve for x
    x = 8,569,821.80/2,496.08
  6. Step 6: Final answer
    x = 3,433.31

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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.