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Finding the Fourth Proportional to 2,908.71, 4,338.23 and 2,472.80

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Solution

The fourth proportional to 2,908.71, 4,338.23 and 2,472.80 is: 3,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.71 : 4,338.23 = 2,472.80 : x
  2. Step 2: Convert to fraction form
    2,908.71/4,338.23 = 2,472.80/x
  3. Step 3: Cross multiply
    2,908.71x = 4,338.23 × 2,472.80
  4. Step 4: Simplify right side
    2,908.71x = 10,727,541.09
  5. Step 5: Solve for x
    x = 10,727,541.09/2,908.71
  6. Step 6: Final answer
    x = 3,688.08

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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.