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Finding the Fourth Proportional to 1,744.32, 2,616.60 and 589.68

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Solution

The fourth proportional to 1,744.32, 2,616.60 and 589.68 is: 884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.32 : 2,616.60 = 589.68 : x
  2. Step 2: Convert to fraction form
    1,744.32/2,616.60 = 589.68/x
  3. Step 3: Cross multiply
    1,744.32x = 2,616.60 × 589.68
  4. Step 4: Simplify right side
    1,744.32x = 1,542,956.69
  5. Step 5: Solve for x
    x = 1,542,956.69/1,744.32
  6. Step 6: Final answer
    x = 884.56

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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.