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Finding the Fourth Proportional to 1,844.29, 2,765.64 and 611.40

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Solution

The fourth proportional to 1,844.29, 2,765.64 and 611.40 is: 916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.29 : 2,765.64 = 611.40 : x
  2. Step 2: Convert to fraction form
    1,844.29/2,765.64 = 611.40/x
  3. Step 3: Cross multiply
    1,844.29x = 2,765.64 × 611.40
  4. Step 4: Simplify right side
    1,844.29x = 1,690,909.40
  5. Step 5: Solve for x
    x = 1,690,909.40/1,844.29
  6. Step 6: Final answer
    x = 916.83

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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.