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Finding the Fourth Proportional to 1,395.19, 2,092.78 and 369.19

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Solution

The fourth proportional to 1,395.19, 2,092.78 and 369.19 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.19 : 2,092.78 = 369.19 : x
  2. Step 2: Convert to fraction form
    1,395.19/2,092.78 = 369.19/x
  3. Step 3: Cross multiply
    1,395.19x = 2,092.78 × 369.19
  4. Step 4: Simplify right side
    1,395.19x = 772,628.68
  5. Step 5: Solve for x
    x = 772,628.68/1,395.19
  6. Step 6: Final answer
    x = 553.78

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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.