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Finding the Fourth Proportional to 2,326.26, 3,210.12 and 1,331.46

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Solution

The fourth proportional to 2,326.26, 3,210.12 and 1,331.46 is: 1,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.26 : 3,210.12 = 1,331.46 : x
  2. Step 2: Convert to fraction form
    2,326.26/3,210.12 = 1,331.46/x
  3. Step 3: Cross multiply
    2,326.26x = 3,210.12 × 1,331.46
  4. Step 4: Simplify right side
    2,326.26x = 4,274,146.38
  5. Step 5: Solve for x
    x = 4,274,146.38/2,326.26
  6. Step 6: Final answer
    x = 1,837.35

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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.