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Finding the Fourth Proportional to 2,105.14, 2,905.24 and 1,160.94

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Solution

The fourth proportional to 2,105.14, 2,905.24 and 1,160.94 is: 1,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.14 : 2,905.24 = 1,160.94 : x
  2. Step 2: Convert to fraction form
    2,105.14/2,905.24 = 1,160.94/x
  3. Step 3: Cross multiply
    2,105.14x = 2,905.24 × 1,160.94
  4. Step 4: Simplify right side
    2,105.14x = 3,372,788.99
  5. Step 5: Solve for x
    x = 3,372,788.99/2,105.14
  6. Step 6: Final answer
    x = 1,602.17

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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.