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Finding the Fourth Proportional to 2,000.95, 2,761.38 and 1,116.92

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Solution

The fourth proportional to 2,000.95, 2,761.38 and 1,116.92 is: 1,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.95 : 2,761.38 = 1,116.92 : x
  2. Step 2: Convert to fraction form
    2,000.95/2,761.38 = 1,116.92/x
  3. Step 3: Cross multiply
    2,000.95x = 2,761.38 × 1,116.92
  4. Step 4: Simplify right side
    2,000.95x = 3,084,240.55
  5. Step 5: Solve for x
    x = 3,084,240.55/2,000.95
  6. Step 6: Final answer
    x = 1,541.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.