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Finding the Fourth Proportional to 2,962.41, 4,442.76 and 882.33

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Solution

The fourth proportional to 2,962.41, 4,442.76 and 882.33 is: 1,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.41 : 4,442.76 = 882.33 : x
  2. Step 2: Convert to fraction form
    2,962.41/4,442.76 = 882.33/x
  3. Step 3: Cross multiply
    2,962.41x = 4,442.76 × 882.33
  4. Step 4: Simplify right side
    2,962.41x = 3,919,980.43
  5. Step 5: Solve for x
    x = 3,919,980.43/2,962.41
  6. Step 6: Final answer
    x = 1,323.24

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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.