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Finding the Fourth Proportional to 2,002.48, 3,002.42 and 962.46

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Solution

The fourth proportional to 2,002.48, 3,002.42 and 962.46 is: 1,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.48 : 3,002.42 = 962.46 : x
  2. Step 2: Convert to fraction form
    2,002.48/3,002.42 = 962.46/x
  3. Step 3: Cross multiply
    2,002.48x = 3,002.42 × 962.46
  4. Step 4: Simplify right side
    2,002.48x = 2,889,711.56
  5. Step 5: Solve for x
    x = 2,889,711.56/2,002.48
  6. Step 6: Final answer
    x = 1,443.07

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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.