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Finding the Fourth Proportional to 2,180.16, 3,267 and 880.92

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Solution

The fourth proportional to 2,180.16, 3,267 and 880.92 is: 1,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.16 : 3,267 = 880.92 : x
  2. Step 2: Convert to fraction form
    2,180.16/3,267 = 880.92/x
  3. Step 3: Cross multiply
    2,180.16x = 3,267 × 880.92
  4. Step 4: Simplify right side
    2,180.16x = 2,877,965.64
  5. Step 5: Solve for x
    x = 2,877,965.64/2,180.16
  6. Step 6: Final answer
    x = 1,320.07

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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.