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Finding the Fourth Proportional to 1,419.50, 2,128.90 and 494.92

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Solution

The fourth proportional to 1,419.50, 2,128.90 and 494.92 is: 742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.50 : 2,128.90 = 494.92 : x
  2. Step 2: Convert to fraction form
    1,419.50/2,128.90 = 494.92/x
  3. Step 3: Cross multiply
    1,419.50x = 2,128.90 × 494.92
  4. Step 4: Simplify right side
    1,419.50x = 1,053,633.95
  5. Step 5: Solve for x
    x = 1,053,633.95/1,419.50
  6. Step 6: Final answer
    x = 742.26

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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.