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Finding the Fourth Proportional to 1,824.40, 2,737.38 and 850.36

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Solution

The fourth proportional to 1,824.40, 2,737.38 and 850.36 is: 1,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.40 : 2,737.38 = 850.36 : x
  2. Step 2: Convert to fraction form
    1,824.40/2,737.38 = 850.36/x
  3. Step 3: Cross multiply
    1,824.40x = 2,737.38 × 850.36
  4. Step 4: Simplify right side
    1,824.40x = 2,327,758.46
  5. Step 5: Solve for x
    x = 2,327,758.46/1,824.40
  6. Step 6: Final answer
    x = 1,275.90

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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.