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Finding the Fourth Proportional to 2,180.64, 3,273.84 and 1,011.90

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Solution

The fourth proportional to 2,180.64, 3,273.84 and 1,011.90 is: 1,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.64 : 3,273.84 = 1,011.90 : x
  2. Step 2: Convert to fraction form
    2,180.64/3,273.84 = 1,011.90/x
  3. Step 3: Cross multiply
    2,180.64x = 3,273.84 × 1,011.90
  4. Step 4: Simplify right side
    2,180.64x = 3,312,798.70
  5. Step 5: Solve for x
    x = 3,312,798.70/2,180.64
  6. Step 6: Final answer
    x = 1,519.19

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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.