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Finding the Fourth Proportional to 1,939.70, 2,896.41 and 1,524.17

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Solution

The fourth proportional to 1,939.70, 2,896.41 and 1,524.17 is: 2,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.70 : 2,896.41 = 1,524.17 : x
  2. Step 2: Convert to fraction form
    1,939.70/2,896.41 = 1,524.17/x
  3. Step 3: Cross multiply
    1,939.70x = 2,896.41 × 1,524.17
  4. Step 4: Simplify right side
    1,939.70x = 4,414,621.23
  5. Step 5: Solve for x
    x = 4,414,621.23/1,939.70
  6. Step 6: Final answer
    x = 2,275.93

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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.