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Finding the Fourth Proportional to 1,912.95, 2,640.51 and 1,470.24

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Solution

The fourth proportional to 1,912.95, 2,640.51 and 1,470.24 is: 2,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.95 : 2,640.51 = 1,470.24 : x
  2. Step 2: Convert to fraction form
    1,912.95/2,640.51 = 1,470.24/x
  3. Step 3: Cross multiply
    1,912.95x = 2,640.51 × 1,470.24
  4. Step 4: Simplify right side
    1,912.95x = 3,882,183.42
  5. Step 5: Solve for x
    x = 3,882,183.42/1,912.95
  6. Step 6: Final answer
    x = 2,029.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.