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Finding the Fourth Proportional to 2,200.80, 3,308.40 and 2,071.20

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Solution

The fourth proportional to 2,200.80, 3,308.40 and 2,071.20 is: 3,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.80 : 3,308.40 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    2,200.80/3,308.40 = 2,071.20/x
  3. Step 3: Cross multiply
    2,200.80x = 3,308.40 × 2,071.20
  4. Step 4: Simplify right side
    2,200.80x = 6,852,358.08
  5. Step 5: Solve for x
    x = 6,852,358.08/2,200.80
  6. Step 6: Final answer
    x = 3,113.58

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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.