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Finding the Fourth Proportional to 1,744.99, 2,614.42 and 1,454.35

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Solution

The fourth proportional to 1,744.99, 2,614.42 and 1,454.35 is: 2,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.99 : 2,614.42 = 1,454.35 : x
  2. Step 2: Convert to fraction form
    1,744.99/2,614.42 = 1,454.35/x
  3. Step 3: Cross multiply
    1,744.99x = 2,614.42 × 1,454.35
  4. Step 4: Simplify right side
    1,744.99x = 3,802,281.73
  5. Step 5: Solve for x
    x = 3,802,281.73/1,744.99
  6. Step 6: Final answer
    x = 2,178.97

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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.