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Finding the Fourth Proportional to 3,314.32, 4,969.68 and 2,144.16

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Solution

The fourth proportional to 3,314.32, 4,969.68 and 2,144.16 is: 3,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.32 : 4,969.68 = 2,144.16 : x
  2. Step 2: Convert to fraction form
    3,314.32/4,969.68 = 2,144.16/x
  3. Step 3: Cross multiply
    3,314.32x = 4,969.68 × 2,144.16
  4. Step 4: Simplify right side
    3,314.32x = 10,655,789.07
  5. Step 5: Solve for x
    x = 10,655,789.07/3,314.32
  6. Step 6: Final answer
    x = 3,215.08

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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.