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Finding the Fourth Proportional to 3,226.65, 4,454.14 and 2,180.13

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Solution

The fourth proportional to 3,226.65, 4,454.14 and 2,180.13 is: 3,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.65 : 4,454.14 = 2,180.13 : x
  2. Step 2: Convert to fraction form
    3,226.65/4,454.14 = 2,180.13/x
  3. Step 3: Cross multiply
    3,226.65x = 4,454.14 × 2,180.13
  4. Step 4: Simplify right side
    3,226.65x = 9,710,604.24
  5. Step 5: Solve for x
    x = 9,710,604.24/3,226.65
  6. Step 6: Final answer
    x = 3,009.50

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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.