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Finding the Fourth Proportional to 2,776.14, 3,831.13 and 1,656.87

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Solution

The fourth proportional to 2,776.14, 3,831.13 and 1,656.87 is: 2,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.14 : 3,831.13 = 1,656.87 : x
  2. Step 2: Convert to fraction form
    2,776.14/3,831.13 = 1,656.87/x
  3. Step 3: Cross multiply
    2,776.14x = 3,831.13 × 1,656.87
  4. Step 4: Simplify right side
    2,776.14x = 6,347,665.85
  5. Step 5: Solve for x
    x = 6,347,665.85/2,776.14
  6. Step 6: Final answer
    x = 2,286.50

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