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Finding the Fourth Proportional to 2,986.44, 4,476 and 2,253.72

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Solution

The fourth proportional to 2,986.44, 4,476 and 2,253.72 is: 3,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.44 : 4,476 = 2,253.72 : x
  2. Step 2: Convert to fraction form
    2,986.44/4,476 = 2,253.72/x
  3. Step 3: Cross multiply
    2,986.44x = 4,476 × 2,253.72
  4. Step 4: Simplify right side
    2,986.44x = 10,087,650.72
  5. Step 5: Solve for x
    x = 10,087,650.72/2,986.44
  6. Step 6: Final answer
    x = 3,377.82

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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.