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Finding the Fourth Proportional to 2,283.64, 3,426.67 and 985.21

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Solution

The fourth proportional to 2,283.64, 3,426.67 and 985.21 is: 1,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.64 : 3,426.67 = 985.21 : x
  2. Step 2: Convert to fraction form
    2,283.64/3,426.67 = 985.21/x
  3. Step 3: Cross multiply
    2,283.64x = 3,426.67 × 985.21
  4. Step 4: Simplify right side
    2,283.64x = 3,375,978.52
  5. Step 5: Solve for x
    x = 3,375,978.52/2,283.64
  6. Step 6: Final answer
    x = 1,478.33

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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.