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Finding the Fourth Proportional to 1,447.74, 2,179.52 and 988.43

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Solution

The fourth proportional to 1,447.74, 2,179.52 and 988.43 is: 1,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.74 : 2,179.52 = 988.43 : x
  2. Step 2: Convert to fraction form
    1,447.74/2,179.52 = 988.43/x
  3. Step 3: Cross multiply
    1,447.74x = 2,179.52 × 988.43
  4. Step 4: Simplify right side
    1,447.74x = 2,154,287.11
  5. Step 5: Solve for x
    x = 2,154,287.11/1,447.74
  6. Step 6: Final answer
    x = 1,488.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.