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Finding the Fourth Proportional to 1,839.64, 2,760.54 and 974.44

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Solution

The fourth proportional to 1,839.64, 2,760.54 and 974.44 is: 1,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.64 : 2,760.54 = 974.44 : x
  2. Step 2: Convert to fraction form
    1,839.64/2,760.54 = 974.44/x
  3. Step 3: Cross multiply
    1,839.64x = 2,760.54 × 974.44
  4. Step 4: Simplify right side
    1,839.64x = 2,689,980.60
  5. Step 5: Solve for x
    x = 2,689,980.60/1,839.64
  6. Step 6: Final answer
    x = 1,462.23

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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.