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Finding the Fourth Proportional to 2,651.58, 3,974.76 and 1,482.14

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Solution

The fourth proportional to 2,651.58, 3,974.76 and 1,482.14 is: 2,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.58 : 3,974.76 = 1,482.14 : x
  2. Step 2: Convert to fraction form
    2,651.58/3,974.76 = 1,482.14/x
  3. Step 3: Cross multiply
    2,651.58x = 3,974.76 × 1,482.14
  4. Step 4: Simplify right side
    2,651.58x = 5,891,150.79
  5. Step 5: Solve for x
    x = 5,891,150.79/2,651.58
  6. Step 6: Final answer
    x = 2,221.75

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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.