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Finding the Fourth Proportional to 2,110.54, 2,911.98 and 1,226.56

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Solution

The fourth proportional to 2,110.54, 2,911.98 and 1,226.56 is: 1,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.54 : 2,911.98 = 1,226.56 : x
  2. Step 2: Convert to fraction form
    2,110.54/2,911.98 = 1,226.56/x
  3. Step 3: Cross multiply
    2,110.54x = 2,911.98 × 1,226.56
  4. Step 4: Simplify right side
    2,110.54x = 3,571,718.19
  5. Step 5: Solve for x
    x = 3,571,718.19/2,110.54
  6. Step 6: Final answer
    x = 1,692.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.