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Finding the Fourth Proportional to 2,186.07, 3,278.58 and 626.02

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Solution

The fourth proportional to 2,186.07, 3,278.58 and 626.02 is: 938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.07 : 3,278.58 = 626.02 : x
  2. Step 2: Convert to fraction form
    2,186.07/3,278.58 = 626.02/x
  3. Step 3: Cross multiply
    2,186.07x = 3,278.58 × 626.02
  4. Step 4: Simplify right side
    2,186.07x = 2,052,456.65
  5. Step 5: Solve for x
    x = 2,052,456.65/2,186.07
  6. Step 6: Final answer
    x = 938.88

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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.