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Finding the Fourth Proportional to 1,998.26, 2,753.55 and 1,547.41

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Solution

The fourth proportional to 1,998.26, 2,753.55 and 1,547.41 is: 2,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.26 : 2,753.55 = 1,547.41 : x
  2. Step 2: Convert to fraction form
    1,998.26/2,753.55 = 1,547.41/x
  3. Step 3: Cross multiply
    1,998.26x = 2,753.55 × 1,547.41
  4. Step 4: Simplify right side
    1,998.26x = 4,260,870.81
  5. Step 5: Solve for x
    x = 4,260,870.81/1,998.26
  6. Step 6: Final answer
    x = 2,132.29

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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.