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Finding the Fourth Proportional to 2,261.09, 3,407.03 and 1,859.22

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Solution

The fourth proportional to 2,261.09, 3,407.03 and 1,859.22 is: 2,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.09 : 3,407.03 = 1,859.22 : x
  2. Step 2: Convert to fraction form
    2,261.09/3,407.03 = 1,859.22/x
  3. Step 3: Cross multiply
    2,261.09x = 3,407.03 × 1,859.22
  4. Step 4: Simplify right side
    2,261.09x = 6,334,418.32
  5. Step 5: Solve for x
    x = 6,334,418.32/2,261.09
  6. Step 6: Final answer
    x = 2,801.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.