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Finding the Fourth Proportional to 2,477.97, 3,698.48 and 2,371.05

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Solution

The fourth proportional to 2,477.97, 3,698.48 and 2,371.05 is: 3,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.97 : 3,698.48 = 2,371.05 : x
  2. Step 2: Convert to fraction form
    2,477.97/3,698.48 = 2,371.05/x
  3. Step 3: Cross multiply
    2,477.97x = 3,698.48 × 2,371.05
  4. Step 4: Simplify right side
    2,477.97x = 8,769,286.93
  5. Step 5: Solve for x
    x = 8,769,286.93/2,477.97
  6. Step 6: Final answer
    x = 3,538.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.