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Finding the Fourth Proportional to 3,120, 4,677.12 and 1,170.88

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Solution

The fourth proportional to 3,120, 4,677.12 and 1,170.88 is: 1,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120 : 4,677.12 = 1,170.88 : x
  2. Step 2: Convert to fraction form
    3,120/4,677.12 = 1,170.88/x
  3. Step 3: Cross multiply
    3,120x = 4,677.12 × 1,170.88
  4. Step 4: Simplify right side
    3,120x = 5,476,346.27
  5. Step 5: Solve for x
    x = 5,476,346.27/3,120
  6. Step 6: Final answer
    x = 1,755.24

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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.