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Finding the Fourth Proportional to 2,443.72, 3,662.70 and 882.40

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Solution

The fourth proportional to 2,443.72, 3,662.70 and 882.40 is: 1,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.72 : 3,662.70 = 882.40 : x
  2. Step 2: Convert to fraction form
    2,443.72/3,662.70 = 882.40/x
  3. Step 3: Cross multiply
    2,443.72x = 3,662.70 × 882.40
  4. Step 4: Simplify right side
    2,443.72x = 3,231,966.48
  5. Step 5: Solve for x
    x = 3,231,966.48/2,443.72
  6. Step 6: Final answer
    x = 1,322.56

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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.