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Finding the Fourth Proportional to 3,170.88, 4,751.72 and 2,189.16

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Solution

The fourth proportional to 3,170.88, 4,751.72 and 2,189.16 is: 3,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.88 : 4,751.72 = 2,189.16 : x
  2. Step 2: Convert to fraction form
    3,170.88/4,751.72 = 2,189.16/x
  3. Step 3: Cross multiply
    3,170.88x = 4,751.72 × 2,189.16
  4. Step 4: Simplify right side
    3,170.88x = 10,402,275.36
  5. Step 5: Solve for x
    x = 10,402,275.36/3,170.88
  6. Step 6: Final answer
    x = 3,280.56

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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.