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Finding the Fourth Proportional to 1,816.40, 2,725.12 and 939.52

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Solution

The fourth proportional to 1,816.40, 2,725.12 and 939.52 is: 1,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.40 : 2,725.12 = 939.52 : x
  2. Step 2: Convert to fraction form
    1,816.40/2,725.12 = 939.52/x
  3. Step 3: Cross multiply
    1,816.40x = 2,725.12 × 939.52
  4. Step 4: Simplify right side
    1,816.40x = 2,560,304.74
  5. Step 5: Solve for x
    x = 2,560,304.74/1,816.40
  6. Step 6: Final answer
    x = 1,409.55

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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.