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Finding the Fourth Proportional to 2,765.53, 4,148.15 and 1,034.02

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Solution

The fourth proportional to 2,765.53, 4,148.15 and 1,034.02 is: 1,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.53 : 4,148.15 = 1,034.02 : x
  2. Step 2: Convert to fraction form
    2,765.53/4,148.15 = 1,034.02/x
  3. Step 3: Cross multiply
    2,765.53x = 4,148.15 × 1,034.02
  4. Step 4: Simplify right side
    2,765.53x = 4,289,255.47
  5. Step 5: Solve for x
    x = 4,289,255.47/2,765.53
  6. Step 6: Final answer
    x = 1,550.97

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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.