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Finding the Fourth Proportional to 1,912.88, 2,641.24 and 1,470.08

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Solution

The fourth proportional to 1,912.88, 2,641.24 and 1,470.08 is: 2,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.88 : 2,641.24 = 1,470.08 : x
  2. Step 2: Convert to fraction form
    1,912.88/2,641.24 = 1,470.08/x
  3. Step 3: Cross multiply
    1,912.88x = 2,641.24 × 1,470.08
  4. Step 4: Simplify right side
    1,912.88x = 3,882,834.10
  5. Step 5: Solve for x
    x = 3,882,834.10/1,912.88
  6. Step 6: Final answer
    x = 2,029.84

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