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Finding the Fourth Proportional to 1,744.08, 2,615.76 and 964.84

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Solution

The fourth proportional to 1,744.08, 2,615.76 and 964.84 is: 1,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.08 : 2,615.76 = 964.84 : x
  2. Step 2: Convert to fraction form
    1,744.08/2,615.76 = 964.84/x
  3. Step 3: Cross multiply
    1,744.08x = 2,615.76 × 964.84
  4. Step 4: Simplify right side
    1,744.08x = 2,523,789.88
  5. Step 5: Solve for x
    x = 2,523,789.88/1,744.08
  6. Step 6: Final answer
    x = 1,447.06

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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.