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Finding the Fourth Proportional to 1,451.71, 1,998.80 and 1,281.19

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Solution

The fourth proportional to 1,451.71, 1,998.80 and 1,281.19 is: 1,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.71 : 1,998.80 = 1,281.19 : x
  2. Step 2: Convert to fraction form
    1,451.71/1,998.80 = 1,281.19/x
  3. Step 3: Cross multiply
    1,451.71x = 1,998.80 × 1,281.19
  4. Step 4: Simplify right side
    1,451.71x = 2,560,842.57
  5. Step 5: Solve for x
    x = 2,560,842.57/1,451.71
  6. Step 6: Final answer
    x = 1,764.02

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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.