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Finding the Fourth Proportional to 2,076.39, 2,865.42 and 1,144.89

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Solution

The fourth proportional to 2,076.39, 2,865.42 and 1,144.89 is: 1,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.39 : 2,865.42 = 1,144.89 : x
  2. Step 2: Convert to fraction form
    2,076.39/2,865.42 = 1,144.89/x
  3. Step 3: Cross multiply
    2,076.39x = 2,865.42 × 1,144.89
  4. Step 4: Simplify right side
    2,076.39x = 3,280,590.70
  5. Step 5: Solve for x
    x = 3,280,590.70/2,076.39
  6. Step 6: Final answer
    x = 1,579.95

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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.