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Finding the Fourth Proportional to 3,118.28, 4,308.50 and 2,413

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Solution

The fourth proportional to 3,118.28, 4,308.50 and 2,413 is: 3,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.28 : 4,308.50 = 2,413 : x
  2. Step 2: Convert to fraction form
    3,118.28/4,308.50 = 2,413/x
  3. Step 3: Cross multiply
    3,118.28x = 4,308.50 × 2,413
  4. Step 4: Simplify right side
    3,118.28x = 10,396,410.50
  5. Step 5: Solve for x
    x = 10,396,410.50/3,118.28
  6. Step 6: Final answer
    x = 3,334.02

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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.