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Finding the Fourth Proportional to 2,801.97, 4,202.95 and 1,156.71

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Solution

The fourth proportional to 2,801.97, 4,202.95 and 1,156.71 is: 1,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.97 : 4,202.95 = 1,156.71 : x
  2. Step 2: Convert to fraction form
    2,801.97/4,202.95 = 1,156.71/x
  3. Step 3: Cross multiply
    2,801.97x = 4,202.95 × 1,156.71
  4. Step 4: Simplify right side
    2,801.97x = 4,861,594.29
  5. Step 5: Solve for x
    x = 4,861,594.29/2,801.97
  6. Step 6: Final answer
    x = 1,735.06

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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.