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Finding the Fourth Proportional to 1,935.96, 2,671.56 and 1,149.54

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Solution

The fourth proportional to 1,935.96, 2,671.56 and 1,149.54 is: 1,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.96 : 2,671.56 = 1,149.54 : x
  2. Step 2: Convert to fraction form
    1,935.96/2,671.56 = 1,149.54/x
  3. Step 3: Cross multiply
    1,935.96x = 2,671.56 × 1,149.54
  4. Step 4: Simplify right side
    1,935.96x = 3,071,065.08
  5. Step 5: Solve for x
    x = 3,071,065.08/1,935.96
  6. Step 6: Final answer
    x = 1,586.33

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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.