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Finding the Fourth Proportional to 2,091.72, 2,886.30 and 1,160.22

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Solution

The fourth proportional to 2,091.72, 2,886.30 and 1,160.22 is: 1,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.72 : 2,886.30 = 1,160.22 : x
  2. Step 2: Convert to fraction form
    2,091.72/2,886.30 = 1,160.22/x
  3. Step 3: Cross multiply
    2,091.72x = 2,886.30 × 1,160.22
  4. Step 4: Simplify right side
    2,091.72x = 3,348,742.99
  5. Step 5: Solve for x
    x = 3,348,742.99/2,091.72
  6. Step 6: Final answer
    x = 1,600.95

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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.