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Finding the Fourth Proportional to 2,502.02, 3,452.28 and 1,839.44

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Solution

The fourth proportional to 2,502.02, 3,452.28 and 1,839.44 is: 2,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.02 : 3,452.28 = 1,839.44 : x
  2. Step 2: Convert to fraction form
    2,502.02/3,452.28 = 1,839.44/x
  3. Step 3: Cross multiply
    2,502.02x = 3,452.28 × 1,839.44
  4. Step 4: Simplify right side
    2,502.02x = 6,350,261.92
  5. Step 5: Solve for x
    x = 6,350,261.92/2,502.02
  6. Step 6: Final answer
    x = 2,538.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.