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Finding the Fourth Proportional to 1,344.84, 2,016.84 and 882.60

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Solution

The fourth proportional to 1,344.84, 2,016.84 and 882.60 is: 1,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.84 : 2,016.84 = 882.60 : x
  2. Step 2: Convert to fraction form
    1,344.84/2,016.84 = 882.60/x
  3. Step 3: Cross multiply
    1,344.84x = 2,016.84 × 882.60
  4. Step 4: Simplify right side
    1,344.84x = 1,780,062.98
  5. Step 5: Solve for x
    x = 1,780,062.98/1,344.84
  6. Step 6: Final answer
    x = 1,323.62

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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.