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Finding the Fourth Proportional to 3,057.14, 4,585.66 and 748.66

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Solution

The fourth proportional to 3,057.14, 4,585.66 and 748.66 is: 1,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.14 : 4,585.66 = 748.66 : x
  2. Step 2: Convert to fraction form
    3,057.14/4,585.66 = 748.66/x
  3. Step 3: Cross multiply
    3,057.14x = 4,585.66 × 748.66
  4. Step 4: Simplify right side
    3,057.14x = 3,433,100.22
  5. Step 5: Solve for x
    x = 3,433,100.22/3,057.14
  6. Step 6: Final answer
    x = 1,122.98

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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.