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Finding the Fourth Proportional to 1,649.35, 2,474.88 and 725.56

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Solution

The fourth proportional to 1,649.35, 2,474.88 and 725.56 is: 1,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.35 : 2,474.88 = 725.56 : x
  2. Step 2: Convert to fraction form
    1,649.35/2,474.88 = 725.56/x
  3. Step 3: Cross multiply
    1,649.35x = 2,474.88 × 725.56
  4. Step 4: Simplify right side
    1,649.35x = 1,795,673.93
  5. Step 5: Solve for x
    x = 1,795,673.93/1,649.35
  6. Step 6: Final answer
    x = 1,088.72

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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.