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Finding the Fourth Proportional to 2,822.18, 3,902.03 and 2,471.86

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Solution

The fourth proportional to 2,822.18, 3,902.03 and 2,471.86 is: 3,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.18 : 3,902.03 = 2,471.86 : x
  2. Step 2: Convert to fraction form
    2,822.18/3,902.03 = 2,471.86/x
  3. Step 3: Cross multiply
    2,822.18x = 3,902.03 × 2,471.86
  4. Step 4: Simplify right side
    2,822.18x = 9,645,252.37
  5. Step 5: Solve for x
    x = 9,645,252.37/2,822.18
  6. Step 6: Final answer
    x = 3,417.67

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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.