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Finding the Fourth Proportional to 2,167.91, 2,990.91 and 1,422.29

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Solution

The fourth proportional to 2,167.91, 2,990.91 and 1,422.29 is: 1,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.91 : 2,990.91 = 1,422.29 : x
  2. Step 2: Convert to fraction form
    2,167.91/2,990.91 = 1,422.29/x
  3. Step 3: Cross multiply
    2,167.91x = 2,990.91 × 1,422.29
  4. Step 4: Simplify right side
    2,167.91x = 4,253,931.76
  5. Step 5: Solve for x
    x = 4,253,931.76/2,167.91
  6. Step 6: Final answer
    x = 1,962.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.