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Finding the Fourth Proportional to 1,752.71, 2,418.78 and 966.80

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Solution

The fourth proportional to 1,752.71, 2,418.78 and 966.80 is: 1,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.71 : 2,418.78 = 966.80 : x
  2. Step 2: Convert to fraction form
    1,752.71/2,418.78 = 966.80/x
  3. Step 3: Cross multiply
    1,752.71x = 2,418.78 × 966.80
  4. Step 4: Simplify right side
    1,752.71x = 2,338,464.41
  5. Step 5: Solve for x
    x = 2,338,464.41/1,752.71
  6. Step 6: Final answer
    x = 1,334.20

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Why These Related Problems?

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