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Finding the Fourth Proportional to 2,612.07, 3,918.74 and 763.11

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Solution

The fourth proportional to 2,612.07, 3,918.74 and 763.11 is: 1,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.07 : 3,918.74 = 763.11 : x
  2. Step 2: Convert to fraction form
    2,612.07/3,918.74 = 763.11/x
  3. Step 3: Cross multiply
    2,612.07x = 3,918.74 × 763.11
  4. Step 4: Simplify right side
    2,612.07x = 2,990,425.87
  5. Step 5: Solve for x
    x = 2,990,425.87/2,612.07
  6. Step 6: Final answer
    x = 1,144.85

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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.