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Finding the Fourth Proportional to 2,185.71, 3,278.51 and 725.91

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Solution

The fourth proportional to 2,185.71, 3,278.51 and 725.91 is: 1,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.71 : 3,278.51 = 725.91 : x
  2. Step 2: Convert to fraction form
    2,185.71/3,278.51 = 725.91/x
  3. Step 3: Cross multiply
    2,185.71x = 3,278.51 × 725.91
  4. Step 4: Simplify right side
    2,185.71x = 2,379,899.56
  5. Step 5: Solve for x
    x = 2,379,899.56/2,185.71
  6. Step 6: Final answer
    x = 1,088.85

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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.