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Finding the Fourth Proportional to 2,776.67, 3,831.72 and 1,517.72

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Solution

The fourth proportional to 2,776.67, 3,831.72 and 1,517.72 is: 2,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.67 : 3,831.72 = 1,517.72 : x
  2. Step 2: Convert to fraction form
    2,776.67/3,831.72 = 1,517.72/x
  3. Step 3: Cross multiply
    2,776.67x = 3,831.72 × 1,517.72
  4. Step 4: Simplify right side
    2,776.67x = 5,815,458.92
  5. Step 5: Solve for x
    x = 5,815,458.92/2,776.67
  6. Step 6: Final answer
    x = 2,094.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.