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Finding the Fourth Proportional to 1,226.10, 1,838.75 and 876.49

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Solution

The fourth proportional to 1,226.10, 1,838.75 and 876.49 is: 1,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.10 : 1,838.75 = 876.49 : x
  2. Step 2: Convert to fraction form
    1,226.10/1,838.75 = 876.49/x
  3. Step 3: Cross multiply
    1,226.10x = 1,838.75 × 876.49
  4. Step 4: Simplify right side
    1,226.10x = 1,611,645.99
  5. Step 5: Solve for x
    x = 1,611,645.99/1,226.10
  6. Step 6: Final answer
    x = 1,314.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.