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Finding the Fourth Proportional to 3,171.08, 4,756.72 and 862.58

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Solution

The fourth proportional to 3,171.08, 4,756.72 and 862.58 is: 1,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.08 : 4,756.72 = 862.58 : x
  2. Step 2: Convert to fraction form
    3,171.08/4,756.72 = 862.58/x
  3. Step 3: Cross multiply
    3,171.08x = 4,756.72 × 862.58
  4. Step 4: Simplify right side
    3,171.08x = 4,103,051.54
  5. Step 5: Solve for x
    x = 4,103,051.54/3,171.08
  6. Step 6: Final answer
    x = 1,293.90

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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.