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Finding the Fourth Proportional to 2,068.11, 3,101.98 and 751.87

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Solution

The fourth proportional to 2,068.11, 3,101.98 and 751.87 is: 1,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.11 : 3,101.98 = 751.87 : x
  2. Step 2: Convert to fraction form
    2,068.11/3,101.98 = 751.87/x
  3. Step 3: Cross multiply
    2,068.11x = 3,101.98 × 751.87
  4. Step 4: Simplify right side
    2,068.11x = 2,332,285.70
  5. Step 5: Solve for x
    x = 2,332,285.70/2,068.11
  6. Step 6: Final answer
    x = 1,127.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.