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Finding the Fourth Proportional to 2,105.29, 2,901.99 and 1,440.99

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Solution

The fourth proportional to 2,105.29, 2,901.99 and 1,440.99 is: 1,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.29 : 2,901.99 = 1,440.99 : x
  2. Step 2: Convert to fraction form
    2,105.29/2,901.99 = 1,440.99/x
  3. Step 3: Cross multiply
    2,105.29x = 2,901.99 × 1,440.99
  4. Step 4: Simplify right side
    2,105.29x = 4,181,716.86
  5. Step 5: Solve for x
    x = 4,181,716.86/2,105.29
  6. Step 6: Final answer
    x = 1,986.29

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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.