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Finding the Fourth Proportional to 2,770.20, 4,153.44 and 1,308

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Solution

The fourth proportional to 2,770.20, 4,153.44 and 1,308 is: 1,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.20 : 4,153.44 = 1,308 : x
  2. Step 2: Convert to fraction form
    2,770.20/4,153.44 = 1,308/x
  3. Step 3: Cross multiply
    2,770.20x = 4,153.44 × 1,308
  4. Step 4: Simplify right side
    2,770.20x = 5,432,699.52
  5. Step 5: Solve for x
    x = 5,432,699.52/2,770.20
  6. Step 6: Final answer
    x = 1,961.12

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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.