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Finding the Fourth Proportional to 2,923.53, 4,382.74 and 1,278.82

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Solution

The fourth proportional to 2,923.53, 4,382.74 and 1,278.82 is: 1,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.53 : 4,382.74 = 1,278.82 : x
  2. Step 2: Convert to fraction form
    2,923.53/4,382.74 = 1,278.82/x
  3. Step 3: Cross multiply
    2,923.53x = 4,382.74 × 1,278.82
  4. Step 4: Simplify right side
    2,923.53x = 5,604,735.57
  5. Step 5: Solve for x
    x = 5,604,735.57/2,923.53
  6. Step 6: Final answer
    x = 1,917.11

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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.