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Finding the Fourth Proportional to 2,105.14, 2,904.87 and 1,160.87

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Solution

The fourth proportional to 2,105.14, 2,904.87 and 1,160.87 is: 1,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.14 : 2,904.87 = 1,160.87 : x
  2. Step 2: Convert to fraction form
    2,105.14/2,904.87 = 1,160.87/x
  3. Step 3: Cross multiply
    2,105.14x = 2,904.87 × 1,160.87
  4. Step 4: Simplify right side
    2,105.14x = 3,372,156.11
  5. Step 5: Solve for x
    x = 3,372,156.11/2,105.14
  6. Step 6: Final answer
    x = 1,601.87

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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.