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Finding the Fourth Proportional to 1,896.56, 2,616.60 and 1,400.24

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Solution

The fourth proportional to 1,896.56, 2,616.60 and 1,400.24 is: 1,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.56 : 2,616.60 = 1,400.24 : x
  2. Step 2: Convert to fraction form
    1,896.56/2,616.60 = 1,400.24/x
  3. Step 3: Cross multiply
    1,896.56x = 2,616.60 × 1,400.24
  4. Step 4: Simplify right side
    1,896.56x = 3,663,867.98
  5. Step 5: Solve for x
    x = 3,663,867.98/1,896.56
  6. Step 6: Final answer
    x = 1,931.85

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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.