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Finding the Fourth Proportional to 2,776.42, 3,830.56 and 1,979.85

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Solution

The fourth proportional to 2,776.42, 3,830.56 and 1,979.85 is: 2,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.42 : 3,830.56 = 1,979.85 : x
  2. Step 2: Convert to fraction form
    2,776.42/3,830.56 = 1,979.85/x
  3. Step 3: Cross multiply
    2,776.42x = 3,830.56 × 1,979.85
  4. Step 4: Simplify right side
    2,776.42x = 7,583,943.63
  5. Step 5: Solve for x
    x = 7,583,943.63/2,776.42
  6. Step 6: Final answer
    x = 2,731.55

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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.