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Finding the Fourth Proportional to 4,100.76, 6,151.14 and 1,760.58

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Solution

The fourth proportional to 4,100.76, 6,151.14 and 1,760.58 is: 2,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.76 : 6,151.14 = 1,760.58 : x
  2. Step 2: Convert to fraction form
    4,100.76/6,151.14 = 1,760.58/x
  3. Step 3: Cross multiply
    4,100.76x = 6,151.14 × 1,760.58
  4. Step 4: Simplify right side
    4,100.76x = 10,829,574.06
  5. Step 5: Solve for x
    x = 10,829,574.06/4,100.76
  6. Step 6: Final answer
    x = 2,640.87

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