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Finding the Fourth Proportional to 2,781.68, 4,171.28 and 1,482.88

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Solution

The fourth proportional to 2,781.68, 4,171.28 and 1,482.88 is: 2,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.68 : 4,171.28 = 1,482.88 : x
  2. Step 2: Convert to fraction form
    2,781.68/4,171.28 = 1,482.88/x
  3. Step 3: Cross multiply
    2,781.68x = 4,171.28 × 1,482.88
  4. Step 4: Simplify right side
    2,781.68x = 6,185,507.69
  5. Step 5: Solve for x
    x = 6,185,507.69/2,781.68
  6. Step 6: Final answer
    x = 2,223.66

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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.