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Finding the Fourth Proportional to 2,321.77, 3,203.95 and 1,326.98

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Solution

The fourth proportional to 2,321.77, 3,203.95 and 1,326.98 is: 1,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.77 : 3,203.95 = 1,326.98 : x
  2. Step 2: Convert to fraction form
    2,321.77/3,203.95 = 1,326.98/x
  3. Step 3: Cross multiply
    2,321.77x = 3,203.95 × 1,326.98
  4. Step 4: Simplify right side
    2,321.77x = 4,251,593.25
  5. Step 5: Solve for x
    x = 4,251,593.25/2,321.77
  6. Step 6: Final answer
    x = 1,831.19

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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.