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Finding the Fourth Proportional to 2,105.18, 2,905.01 and 1,160.92

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Solution

The fourth proportional to 2,105.18, 2,905.01 and 1,160.92 is: 1,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.18 : 2,905.01 = 1,160.92 : x
  2. Step 2: Convert to fraction form
    2,105.18/2,905.01 = 1,160.92/x
  3. Step 3: Cross multiply
    2,105.18x = 2,905.01 × 1,160.92
  4. Step 4: Simplify right side
    2,105.18x = 3,372,484.21
  5. Step 5: Solve for x
    x = 3,372,484.21/2,105.18
  6. Step 6: Final answer
    x = 1,601.99

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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.