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Finding the Fourth Proportional to 2,442.84, 3,662.04 and 882.48

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Solution

The fourth proportional to 2,442.84, 3,662.04 and 882.48 is: 1,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.84 : 3,662.04 = 882.48 : x
  2. Step 2: Convert to fraction form
    2,442.84/3,662.04 = 882.48/x
  3. Step 3: Cross multiply
    2,442.84x = 3,662.04 × 882.48
  4. Step 4: Simplify right side
    2,442.84x = 3,231,677.06
  5. Step 5: Solve for x
    x = 3,231,677.06/2,442.84
  6. Step 6: Final answer
    x = 1,322.92

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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.