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Finding the Fourth Proportional to 1,377.75, 2,068.25 and 1,149.33

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Solution

The fourth proportional to 1,377.75, 2,068.25 and 1,149.33 is: 1,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.75 : 2,068.25 = 1,149.33 : x
  2. Step 2: Convert to fraction form
    1,377.75/2,068.25 = 1,149.33/x
  3. Step 3: Cross multiply
    1,377.75x = 2,068.25 × 1,149.33
  4. Step 4: Simplify right side
    1,377.75x = 2,377,096.03
  5. Step 5: Solve for x
    x = 2,377,096.03/1,377.75
  6. Step 6: Final answer
    x = 1,725.35

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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.