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Finding the Fourth Proportional to 1,809.22, 2,494.92 and 1,362.16

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Solution

The fourth proportional to 1,809.22, 2,494.92 and 1,362.16 is: 1,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.22 : 2,494.92 = 1,362.16 : x
  2. Step 2: Convert to fraction form
    1,809.22/2,494.92 = 1,362.16/x
  3. Step 3: Cross multiply
    1,809.22x = 2,494.92 × 1,362.16
  4. Step 4: Simplify right side
    1,809.22x = 3,398,480.23
  5. Step 5: Solve for x
    x = 3,398,480.23/1,809.22
  6. Step 6: Final answer
    x = 1,878.42

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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.