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Finding the Fourth Proportional to 2,867.67, 4,301.70 and 1,224.21

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Solution

The fourth proportional to 2,867.67, 4,301.70 and 1,224.21 is: 1,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.67 : 4,301.70 = 1,224.21 : x
  2. Step 2: Convert to fraction form
    2,867.67/4,301.70 = 1,224.21/x
  3. Step 3: Cross multiply
    2,867.67x = 4,301.70 × 1,224.21
  4. Step 4: Simplify right side
    2,867.67x = 5,266,184.16
  5. Step 5: Solve for x
    x = 5,266,184.16/2,867.67
  6. Step 6: Final answer
    x = 1,836.40

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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.