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Finding the Fourth Proportional to 2,283.72, 3,425.98 and 985.24

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Solution

The fourth proportional to 2,283.72, 3,425.98 and 985.24 is: 1,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.72 : 3,425.98 = 985.24 : x
  2. Step 2: Convert to fraction form
    2,283.72/3,425.98 = 985.24/x
  3. Step 3: Cross multiply
    2,283.72x = 3,425.98 × 985.24
  4. Step 4: Simplify right side
    2,283.72x = 3,375,412.54
  5. Step 5: Solve for x
    x = 3,375,412.54/2,283.72
  6. Step 6: Final answer
    x = 1,478.03

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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.