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Finding the Fourth Proportional to 1,419.41, 2,129.90 and 542.49

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Solution

The fourth proportional to 1,419.41, 2,129.90 and 542.49 is: 814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.41 : 2,129.90 = 542.49 : x
  2. Step 2: Convert to fraction form
    1,419.41/2,129.90 = 542.49/x
  3. Step 3: Cross multiply
    1,419.41x = 2,129.90 × 542.49
  4. Step 4: Simplify right side
    1,419.41x = 1,155,449.45
  5. Step 5: Solve for x
    x = 1,155,449.45/1,419.41
  6. Step 6: Final answer
    x = 814.04

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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.