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Finding the Fourth Proportional to 2,086.65, 3,130.23 and 625.61

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Solution

The fourth proportional to 2,086.65, 3,130.23 and 625.61 is: 938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.65 : 3,130.23 = 625.61 : x
  2. Step 2: Convert to fraction form
    2,086.65/3,130.23 = 625.61/x
  3. Step 3: Cross multiply
    2,086.65x = 3,130.23 × 625.61
  4. Step 4: Simplify right side
    2,086.65x = 1,958,287.54
  5. Step 5: Solve for x
    x = 1,958,287.54/2,086.65
  6. Step 6: Final answer
    x = 938.48

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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.