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Finding the Fourth Proportional to 3,129.72, 4,695.47 and 1,567.84

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Solution

The fourth proportional to 3,129.72, 4,695.47 and 1,567.84 is: 2,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.72 : 4,695.47 = 1,567.84 : x
  2. Step 2: Convert to fraction form
    3,129.72/4,695.47 = 1,567.84/x
  3. Step 3: Cross multiply
    3,129.72x = 4,695.47 × 1,567.84
  4. Step 4: Simplify right side
    3,129.72x = 7,361,745.68
  5. Step 5: Solve for x
    x = 7,361,745.68/3,129.72
  6. Step 6: Final answer
    x = 2,352.21

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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.