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Finding the Fourth Proportional to 3,209.40, 4,808.70 and 2,113.20

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Solution

The fourth proportional to 3,209.40, 4,808.70 and 2,113.20 is: 3,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.40 : 4,808.70 = 2,113.20 : x
  2. Step 2: Convert to fraction form
    3,209.40/4,808.70 = 2,113.20/x
  3. Step 3: Cross multiply
    3,209.40x = 4,808.70 × 2,113.20
  4. Step 4: Simplify right side
    3,209.40x = 10,161,744.84
  5. Step 5: Solve for x
    x = 10,161,744.84/3,209.40
  6. Step 6: Final answer
    x = 3,166.24

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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.