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Finding the Fourth Proportional to 2,908.60, 4,010.88 and 2,278

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Solution

The fourth proportional to 2,908.60, 4,010.88 and 2,278 is: 3,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.60 : 4,010.88 = 2,278 : x
  2. Step 2: Convert to fraction form
    2,908.60/4,010.88 = 2,278/x
  3. Step 3: Cross multiply
    2,908.60x = 4,010.88 × 2,278
  4. Step 4: Simplify right side
    2,908.60x = 9,136,784.64
  5. Step 5: Solve for x
    x = 9,136,784.64/2,908.60
  6. Step 6: Final answer
    x = 3,141.30

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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.