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Finding the Fourth Proportional to 2,000.90, 2,761.36 and 1,116.68

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Solution

The fourth proportional to 2,000.90, 2,761.36 and 1,116.68 is: 1,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.90 : 2,761.36 = 1,116.68 : x
  2. Step 2: Convert to fraction form
    2,000.90/2,761.36 = 1,116.68/x
  3. Step 3: Cross multiply
    2,000.90x = 2,761.36 × 1,116.68
  4. Step 4: Simplify right side
    2,000.90x = 3,083,555.48
  5. Step 5: Solve for x
    x = 3,083,555.48/2,000.90
  6. Step 6: Final answer
    x = 1,541.08

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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.