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Finding the Fourth Proportional to 1,418.80, 2,128.34 and 494.24

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Solution

The fourth proportional to 1,418.80, 2,128.34 and 494.24 is: 741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.80 : 2,128.34 = 494.24 : x
  2. Step 2: Convert to fraction form
    1,418.80/2,128.34 = 494.24/x
  3. Step 3: Cross multiply
    1,418.80x = 2,128.34 × 494.24
  4. Step 4: Simplify right side
    1,418.80x = 1,051,910.76
  5. Step 5: Solve for x
    x = 1,051,910.76/1,418.80
  6. Step 6: Final answer
    x = 741.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.