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Finding the Fourth Proportional to 2,452.13, 3,384.54 and 1,404.80

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Solution

The fourth proportional to 2,452.13, 3,384.54 and 1,404.80 is: 1,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.13 : 3,384.54 = 1,404.80 : x
  2. Step 2: Convert to fraction form
    2,452.13/3,384.54 = 1,404.80/x
  3. Step 3: Cross multiply
    2,452.13x = 3,384.54 × 1,404.80
  4. Step 4: Simplify right side
    2,452.13x = 4,754,584.87
  5. Step 5: Solve for x
    x = 4,754,584.87/2,452.13
  6. Step 6: Final answer
    x = 1,938.97

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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.