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Finding the Fourth Proportional to 2,865.74, 4,298.14 and 1,754.78

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Solution

The fourth proportional to 2,865.74, 4,298.14 and 1,754.78 is: 2,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.74 : 4,298.14 = 1,754.78 : x
  2. Step 2: Convert to fraction form
    2,865.74/4,298.14 = 1,754.78/x
  3. Step 3: Cross multiply
    2,865.74x = 4,298.14 × 1,754.78
  4. Step 4: Simplify right side
    2,865.74x = 7,542,259.84
  5. Step 5: Solve for x
    x = 7,542,259.84/2,865.74
  6. Step 6: Final answer
    x = 2,631.87

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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.