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Finding the Fourth Proportional to 2,416.28, 3,326.04 and 2,105.24

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Solution

The fourth proportional to 2,416.28, 3,326.04 and 2,105.24 is: 2,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.28 : 3,326.04 = 2,105.24 : x
  2. Step 2: Convert to fraction form
    2,416.28/3,326.04 = 2,105.24/x
  3. Step 3: Cross multiply
    2,416.28x = 3,326.04 × 2,105.24
  4. Step 4: Simplify right side
    2,416.28x = 7,002,112.45
  5. Step 5: Solve for x
    x = 7,002,112.45/2,416.28
  6. Step 6: Final answer
    x = 2,897.89

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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.