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Finding the Fourth Proportional to 1,629.55, 2,248.39 and 966.57

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Solution

The fourth proportional to 1,629.55, 2,248.39 and 966.57 is: 1,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.55 : 2,248.39 = 966.57 : x
  2. Step 2: Convert to fraction form
    1,629.55/2,248.39 = 966.57/x
  3. Step 3: Cross multiply
    1,629.55x = 2,248.39 × 966.57
  4. Step 4: Simplify right side
    1,629.55x = 2,173,226.32
  5. Step 5: Solve for x
    x = 2,173,226.32/1,629.55
  6. Step 6: Final answer
    x = 1,333.64

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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.