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Finding the Fourth Proportional to 2,970.67, 4,098.97 and 1,908.62

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Solution

The fourth proportional to 2,970.67, 4,098.97 and 1,908.62 is: 2,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.67 : 4,098.97 = 1,908.62 : x
  2. Step 2: Convert to fraction form
    2,970.67/4,098.97 = 1,908.62/x
  3. Step 3: Cross multiply
    2,970.67x = 4,098.97 × 1,908.62
  4. Step 4: Simplify right side
    2,970.67x = 7,823,366.58
  5. Step 5: Solve for x
    x = 7,823,366.58/2,970.67
  6. Step 6: Final answer
    x = 2,633.54

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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.