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Finding the Fourth Proportional to 1,752.16, 2,418.08 and 966.20

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Solution

The fourth proportional to 1,752.16, 2,418.08 and 966.20 is: 1,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.16 : 2,418.08 = 966.20 : x
  2. Step 2: Convert to fraction form
    1,752.16/2,418.08 = 966.20/x
  3. Step 3: Cross multiply
    1,752.16x = 2,418.08 × 966.20
  4. Step 4: Simplify right side
    1,752.16x = 2,336,348.90
  5. Step 5: Solve for x
    x = 2,336,348.90/1,752.16
  6. Step 6: Final answer
    x = 1,333.41

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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.