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Finding the Fourth Proportional to 2,932.66, 4,396.56 and 2,052.66

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Solution

The fourth proportional to 2,932.66, 4,396.56 and 2,052.66 is: 3,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.66 : 4,396.56 = 2,052.66 : x
  2. Step 2: Convert to fraction form
    2,932.66/4,396.56 = 2,052.66/x
  3. Step 3: Cross multiply
    2,932.66x = 4,396.56 × 2,052.66
  4. Step 4: Simplify right side
    2,932.66x = 9,024,642.85
  5. Step 5: Solve for x
    x = 9,024,642.85/2,932.66
  6. Step 6: Final answer
    x = 3,077.29

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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.