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Finding the Fourth Proportional to 1,708.66, 2,560.90 and 966.43

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Solution

The fourth proportional to 1,708.66, 2,560.90 and 966.43 is: 1,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.66 : 2,560.90 = 966.43 : x
  2. Step 2: Convert to fraction form
    1,708.66/2,560.90 = 966.43/x
  3. Step 3: Cross multiply
    1,708.66x = 2,560.90 × 966.43
  4. Step 4: Simplify right side
    1,708.66x = 2,474,930.59
  5. Step 5: Solve for x
    x = 2,474,930.59/1,708.66
  6. Step 6: Final answer
    x = 1,448.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.