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Finding the Fourth Proportional to 2,831.56, 4,218.62 and 2,692.14

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Solution

The fourth proportional to 2,831.56, 4,218.62 and 2,692.14 is: 4,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.56 : 4,218.62 = 2,692.14 : x
  2. Step 2: Convert to fraction form
    2,831.56/4,218.62 = 2,692.14/x
  3. Step 3: Cross multiply
    2,831.56x = 4,218.62 × 2,692.14
  4. Step 4: Simplify right side
    2,831.56x = 11,357,086.37
  5. Step 5: Solve for x
    x = 11,357,086.37/2,831.56
  6. Step 6: Final answer
    x = 4,010.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.