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Finding the Fourth Proportional to 1,896.71, 2,617.13 and 1,399.78

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Solution

The fourth proportional to 1,896.71, 2,617.13 and 1,399.78 is: 1,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.71 : 2,617.13 = 1,399.78 : x
  2. Step 2: Convert to fraction form
    1,896.71/2,617.13 = 1,399.78/x
  3. Step 3: Cross multiply
    1,896.71x = 2,617.13 × 1,399.78
  4. Step 4: Simplify right side
    1,896.71x = 3,663,386.15
  5. Step 5: Solve for x
    x = 3,663,386.15/1,896.71
  6. Step 6: Final answer
    x = 1,931.44

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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.