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Finding the Fourth Proportional to 1,392.22, 2,075.87 and 1,367.62

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Solution

The fourth proportional to 1,392.22, 2,075.87 and 1,367.62 is: 2,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.22 : 2,075.87 = 1,367.62 : x
  2. Step 2: Convert to fraction form
    1,392.22/2,075.87 = 1,367.62/x
  3. Step 3: Cross multiply
    1,392.22x = 2,075.87 × 1,367.62
  4. Step 4: Simplify right side
    1,392.22x = 2,838,994.49
  5. Step 5: Solve for x
    x = 2,838,994.49/1,392.22
  6. Step 6: Final answer
    x = 2,039.19

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Why These Related Problems?

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