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Finding the Fourth Proportional to 1,634.87, 2,253.99 and 1,470.85

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Solution

The fourth proportional to 1,634.87, 2,253.99 and 1,470.85 is: 2,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.87 : 2,253.99 = 1,470.85 : x
  2. Step 2: Convert to fraction form
    1,634.87/2,253.99 = 1,470.85/x
  3. Step 3: Cross multiply
    1,634.87x = 2,253.99 × 1,470.85
  4. Step 4: Simplify right side
    1,634.87x = 3,315,281.19
  5. Step 5: Solve for x
    x = 3,315,281.19/1,634.87
  6. Step 6: Final answer
    x = 2,027.86

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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.