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Finding the Fourth Proportional to 1,447.20, 1,998 and 1,097.28

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Solution

The fourth proportional to 1,447.20, 1,998 and 1,097.28 is: 1,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.20 : 1,998 = 1,097.28 : x
  2. Step 2: Convert to fraction form
    1,447.20/1,998 = 1,097.28/x
  3. Step 3: Cross multiply
    1,447.20x = 1,998 × 1,097.28
  4. Step 4: Simplify right side
    1,447.20x = 2,192,365.44
  5. Step 5: Solve for x
    x = 2,192,365.44/1,447.20
  6. Step 6: Final answer
    x = 1,514.90

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