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Finding the Fourth Proportional to 2,091.92, 2,886.72 and 1,160.42

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Solution

The fourth proportional to 2,091.92, 2,886.72 and 1,160.42 is: 1,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.92 : 2,886.72 = 1,160.42 : x
  2. Step 2: Convert to fraction form
    2,091.92/2,886.72 = 1,160.42/x
  3. Step 3: Cross multiply
    2,091.92x = 2,886.72 × 1,160.42
  4. Step 4: Simplify right side
    2,091.92x = 3,349,807.62
  5. Step 5: Solve for x
    x = 3,349,807.62/2,091.92
  6. Step 6: Final answer
    x = 1,601.31

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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.