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Finding the Fourth Proportional to 3,176.70, 4,765.05 and 2,139.90

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Solution

The fourth proportional to 3,176.70, 4,765.05 and 2,139.90 is: 3,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.70 : 4,765.05 = 2,139.90 : x
  2. Step 2: Convert to fraction form
    3,176.70/4,765.05 = 2,139.90/x
  3. Step 3: Cross multiply
    3,176.70x = 4,765.05 × 2,139.90
  4. Step 4: Simplify right side
    3,176.70x = 10,196,730.50
  5. Step 5: Solve for x
    x = 10,196,730.50/3,176.70
  6. Step 6: Final answer
    x = 3,209.85

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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.