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Finding the Fourth Proportional to 2,708.70, 3,736.78 and 2,376.10

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Solution

The fourth proportional to 2,708.70, 3,736.78 and 2,376.10 is: 3,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.70 : 3,736.78 = 2,376.10 : x
  2. Step 2: Convert to fraction form
    2,708.70/3,736.78 = 2,376.10/x
  3. Step 3: Cross multiply
    2,708.70x = 3,736.78 × 2,376.10
  4. Step 4: Simplify right side
    2,708.70x = 8,878,962.96
  5. Step 5: Solve for x
    x = 8,878,962.96/2,708.70
  6. Step 6: Final answer
    x = 3,277.94

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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.