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Finding the Fourth Proportional to 1,744.72, 2,407.62 and 998.53

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Solution

The fourth proportional to 1,744.72, 2,407.62 and 998.53 is: 1,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.72 : 2,407.62 = 998.53 : x
  2. Step 2: Convert to fraction form
    1,744.72/2,407.62 = 998.53/x
  3. Step 3: Cross multiply
    1,744.72x = 2,407.62 × 998.53
  4. Step 4: Simplify right side
    1,744.72x = 2,404,080.80
  5. Step 5: Solve for x
    x = 2,404,080.80/1,744.72
  6. Step 6: Final answer
    x = 1,377.92

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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.