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Finding the Fourth Proportional to 1,844.10, 2,766.15 and 966.26

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Solution

The fourth proportional to 1,844.10, 2,766.15 and 966.26 is: 1,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.10 : 2,766.15 = 966.26 : x
  2. Step 2: Convert to fraction form
    1,844.10/2,766.15 = 966.26/x
  3. Step 3: Cross multiply
    1,844.10x = 2,766.15 × 966.26
  4. Step 4: Simplify right side
    1,844.10x = 2,672,827.01
  5. Step 5: Solve for x
    x = 2,672,827.01/1,844.10
  6. Step 6: Final answer
    x = 1,449.39

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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.