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Finding the Fourth Proportional to 2,867.84, 4,291.50 and 2,247.27

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Solution

The fourth proportional to 2,867.84, 4,291.50 and 2,247.27 is: 3,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.84 : 4,291.50 = 2,247.27 : x
  2. Step 2: Convert to fraction form
    2,867.84/4,291.50 = 2,247.27/x
  3. Step 3: Cross multiply
    2,867.84x = 4,291.50 × 2,247.27
  4. Step 4: Simplify right side
    2,867.84x = 9,644,159.21
  5. Step 5: Solve for x
    x = 9,644,159.21/2,867.84
  6. Step 6: Final answer
    x = 3,362.87

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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.