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Finding the Fourth Proportional to 3,140.84, 4,712.03 and 2,218.20

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Solution

The fourth proportional to 3,140.84, 4,712.03 and 2,218.20 is: 3,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.84 : 4,712.03 = 2,218.20 : x
  2. Step 2: Convert to fraction form
    3,140.84/4,712.03 = 2,218.20/x
  3. Step 3: Cross multiply
    3,140.84x = 4,712.03 × 2,218.20
  4. Step 4: Simplify right side
    3,140.84x = 10,452,224.95
  5. Step 5: Solve for x
    x = 10,452,224.95/3,140.84
  6. Step 6: Final answer
    x = 3,327.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.