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Finding the Fourth Proportional to 2,962.20, 4,443.32 and 882.15

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Solution

The fourth proportional to 2,962.20, 4,443.32 and 882.15 is: 1,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.20 : 4,443.32 = 882.15 : x
  2. Step 2: Convert to fraction form
    2,962.20/4,443.32 = 882.15/x
  3. Step 3: Cross multiply
    2,962.20x = 4,443.32 × 882.15
  4. Step 4: Simplify right side
    2,962.20x = 3,919,674.74
  5. Step 5: Solve for x
    x = 3,919,674.74/2,962.20
  6. Step 6: Final answer
    x = 1,323.23

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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.