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Finding the Fourth Proportional to 1,752.90, 2,419.11 and 966.95

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Solution

The fourth proportional to 1,752.90, 2,419.11 and 966.95 is: 1,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.90 : 2,419.11 = 966.95 : x
  2. Step 2: Convert to fraction form
    1,752.90/2,419.11 = 966.95/x
  3. Step 3: Cross multiply
    1,752.90x = 2,419.11 × 966.95
  4. Step 4: Simplify right side
    1,752.90x = 2,339,158.41
  5. Step 5: Solve for x
    x = 2,339,158.41/1,752.90
  6. Step 6: Final answer
    x = 1,334.45

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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.