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Finding the Fourth Proportional to 2,363.76, 3,522.24 and 2,105.28

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Solution

The fourth proportional to 2,363.76, 3,522.24 and 2,105.28 is: 3,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.76 : 3,522.24 = 2,105.28 : x
  2. Step 2: Convert to fraction form
    2,363.76/3,522.24 = 2,105.28/x
  3. Step 3: Cross multiply
    2,363.76x = 3,522.24 × 2,105.28
  4. Step 4: Simplify right side
    2,363.76x = 7,415,301.43
  5. Step 5: Solve for x
    x = 7,415,301.43/2,363.76
  6. Step 6: Final answer
    x = 3,137.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.