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Finding the Fourth Proportional to 1,744.64, 2,615.69 and 819.72

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Solution

The fourth proportional to 1,744.64, 2,615.69 and 819.72 is: 1,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.64 : 2,615.69 = 819.72 : x
  2. Step 2: Convert to fraction form
    1,744.64/2,615.69 = 819.72/x
  3. Step 3: Cross multiply
    1,744.64x = 2,615.69 × 819.72
  4. Step 4: Simplify right side
    1,744.64x = 2,144,129.31
  5. Step 5: Solve for x
    x = 2,144,129.31/1,744.64
  6. Step 6: Final answer
    x = 1,228.98

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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.