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Finding the Fourth Proportional to 3,461.95, 4,778.24 and 2,118.03

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Solution

The fourth proportional to 3,461.95, 4,778.24 and 2,118.03 is: 2,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.95 : 4,778.24 = 2,118.03 : x
  2. Step 2: Convert to fraction form
    3,461.95/4,778.24 = 2,118.03/x
  3. Step 3: Cross multiply
    3,461.95x = 4,778.24 × 2,118.03
  4. Step 4: Simplify right side
    3,461.95x = 10,120,455.67
  5. Step 5: Solve for x
    x = 10,120,455.67/3,461.95
  6. Step 6: Final answer
    x = 2,923.34

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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.