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Finding the Fourth Proportional to 2,770.16, 3,825.90 and 2,148.19

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Solution

The fourth proportional to 2,770.16, 3,825.90 and 2,148.19 is: 2,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.16 : 3,825.90 = 2,148.19 : x
  2. Step 2: Convert to fraction form
    2,770.16/3,825.90 = 2,148.19/x
  3. Step 3: Cross multiply
    2,770.16x = 3,825.90 × 2,148.19
  4. Step 4: Simplify right side
    2,770.16x = 8,218,750.56
  5. Step 5: Solve for x
    x = 8,218,750.56/2,770.16
  6. Step 6: Final answer
    x = 2,966.89

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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.