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Finding the Fourth Proportional to 2,567.97, 3,851.05 and 901.92

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Solution

The fourth proportional to 2,567.97, 3,851.05 and 901.92 is: 1,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.97 : 3,851.05 = 901.92 : x
  2. Step 2: Convert to fraction form
    2,567.97/3,851.05 = 901.92/x
  3. Step 3: Cross multiply
    2,567.97x = 3,851.05 × 901.92
  4. Step 4: Simplify right side
    2,567.97x = 3,473,339.02
  5. Step 5: Solve for x
    x = 3,473,339.02/2,567.97
  6. Step 6: Final answer
    x = 1,352.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.