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Finding the Fourth Proportional to 1,896.68, 2,616.70 and 1,400.52

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Solution

The fourth proportional to 1,896.68, 2,616.70 and 1,400.52 is: 1,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.68 : 2,616.70 = 1,400.52 : x
  2. Step 2: Convert to fraction form
    1,896.68/2,616.70 = 1,400.52/x
  3. Step 3: Cross multiply
    1,896.68x = 2,616.70 × 1,400.52
  4. Step 4: Simplify right side
    1,896.68x = 3,664,740.68
  5. Step 5: Solve for x
    x = 3,664,740.68/1,896.68
  6. Step 6: Final answer
    x = 1,932.19

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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.