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Finding the Fourth Proportional to 1,752.27, 2,418.10 and 966.30

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Solution

The fourth proportional to 1,752.27, 2,418.10 and 966.30 is: 1,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.27 : 2,418.10 = 966.30 : x
  2. Step 2: Convert to fraction form
    1,752.27/2,418.10 = 966.30/x
  3. Step 3: Cross multiply
    1,752.27x = 2,418.10 × 966.30
  4. Step 4: Simplify right side
    1,752.27x = 2,336,610.03
  5. Step 5: Solve for x
    x = 2,336,610.03/1,752.27
  6. Step 6: Final answer
    x = 1,333.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.