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Finding the Fourth Proportional to 3,287.80, 4,534.60 and 2,108.96

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Solution

The fourth proportional to 3,287.80, 4,534.60 and 2,108.96 is: 2,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.80 : 4,534.60 = 2,108.96 : x
  2. Step 2: Convert to fraction form
    3,287.80/4,534.60 = 2,108.96/x
  3. Step 3: Cross multiply
    3,287.80x = 4,534.60 × 2,108.96
  4. Step 4: Simplify right side
    3,287.80x = 9,563,290.02
  5. Step 5: Solve for x
    x = 9,563,290.02/3,287.80
  6. Step 6: Final answer
    x = 2,908.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.