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Finding the Fourth Proportional to 2,983.40, 4,472.36 and 1,422.42

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Solution

The fourth proportional to 2,983.40, 4,472.36 and 1,422.42 is: 2,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.40 : 4,472.36 = 1,422.42 : x
  2. Step 2: Convert to fraction form
    2,983.40/4,472.36 = 1,422.42/x
  3. Step 3: Cross multiply
    2,983.40x = 4,472.36 × 1,422.42
  4. Step 4: Simplify right side
    2,983.40x = 6,361,567.20
  5. Step 5: Solve for x
    x = 6,361,567.20/2,983.40
  6. Step 6: Final answer
    x = 2,132.32

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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.