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Finding the Fourth Proportional to 1,747.60, 2,621.40 and 449.06

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Solution

The fourth proportional to 1,747.60, 2,621.40 and 449.06 is: 673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.60 : 2,621.40 = 449.06 : x
  2. Step 2: Convert to fraction form
    1,747.60/2,621.40 = 449.06/x
  3. Step 3: Cross multiply
    1,747.60x = 2,621.40 × 449.06
  4. Step 4: Simplify right side
    1,747.60x = 1,177,165.88
  5. Step 5: Solve for x
    x = 1,177,165.88/1,747.60
  6. Step 6: Final answer
    x = 673.59

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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.