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Finding the Fourth Proportional to 3,101.67, 4,652.76 and 880.52

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Solution

The fourth proportional to 3,101.67, 4,652.76 and 880.52 is: 1,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.67 : 4,652.76 = 880.52 : x
  2. Step 2: Convert to fraction form
    3,101.67/4,652.76 = 880.52/x
  3. Step 3: Cross multiply
    3,101.67x = 4,652.76 × 880.52
  4. Step 4: Simplify right side
    3,101.67x = 4,096,848.24
  5. Step 5: Solve for x
    x = 4,096,848.24/3,101.67
  6. Step 6: Final answer
    x = 1,320.85

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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.