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Finding the Fourth Proportional to 1,234.06, 1,850.82 and 368.17

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Solution

The fourth proportional to 1,234.06, 1,850.82 and 368.17 is: 552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.06 : 1,850.82 = 368.17 : x
  2. Step 2: Convert to fraction form
    1,234.06/1,850.82 = 368.17/x
  3. Step 3: Cross multiply
    1,234.06x = 1,850.82 × 368.17
  4. Step 4: Simplify right side
    1,234.06x = 681,416.40
  5. Step 5: Solve for x
    x = 681,416.40/1,234.06
  6. Step 6: Final answer
    x = 552.17

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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.