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Finding the Fourth Proportional to 2,776.69, 3,831.09 and 1,657.12

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Solution

The fourth proportional to 2,776.69, 3,831.09 and 1,657.12 is: 2,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.69 : 3,831.09 = 1,657.12 : x
  2. Step 2: Convert to fraction form
    2,776.69/3,831.09 = 1,657.12/x
  3. Step 3: Cross multiply
    2,776.69x = 3,831.09 × 1,657.12
  4. Step 4: Simplify right side
    2,776.69x = 6,348,575.86
  5. Step 5: Solve for x
    x = 6,348,575.86/2,776.69
  6. Step 6: Final answer
    x = 2,286.38

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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.