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Finding the Fourth Proportional to 2,308.04, 3,443.80 and 2,168

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Solution

The fourth proportional to 2,308.04, 3,443.80 and 2,168 is: 3,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.04 : 3,443.80 = 2,168 : x
  2. Step 2: Convert to fraction form
    2,308.04/3,443.80 = 2,168/x
  3. Step 3: Cross multiply
    2,308.04x = 3,443.80 × 2,168
  4. Step 4: Simplify right side
    2,308.04x = 7,466,158.40
  5. Step 5: Solve for x
    x = 7,466,158.40/2,308.04
  6. Step 6: Final answer
    x = 3,234.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.