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Finding the Fourth Proportional to 2,801.67, 3,864.69 and 2,591.70

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Solution

The fourth proportional to 2,801.67, 3,864.69 and 2,591.70 is: 3,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.67 : 3,864.69 = 2,591.70 : x
  2. Step 2: Convert to fraction form
    2,801.67/3,864.69 = 2,591.70/x
  3. Step 3: Cross multiply
    2,801.67x = 3,864.69 × 2,591.70
  4. Step 4: Simplify right side
    2,801.67x = 10,016,117.07
  5. Step 5: Solve for x
    x = 10,016,117.07/2,801.67
  6. Step 6: Final answer
    x = 3,575.05

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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.