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Finding the Fourth Proportional to 2,105.11, 2,905.06 and 1,160.93

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Solution

The fourth proportional to 2,105.11, 2,905.06 and 1,160.93 is: 1,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.11 : 2,905.06 = 1,160.93 : x
  2. Step 2: Convert to fraction form
    2,105.11/2,905.06 = 1,160.93/x
  3. Step 3: Cross multiply
    2,105.11x = 2,905.06 × 1,160.93
  4. Step 4: Simplify right side
    2,105.11x = 3,372,582.92
  5. Step 5: Solve for x
    x = 3,372,582.92/2,105.11
  6. Step 6: Final answer
    x = 1,602.10

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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.