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Finding the Fourth Proportional to 2,263.39, 3,123.31 and 1,255.00

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Solution

The fourth proportional to 2,263.39, 3,123.31 and 1,255.00 is: 1,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.39 : 3,123.31 = 1,255.00 : x
  2. Step 2: Convert to fraction form
    2,263.39/3,123.31 = 1,255.00/x
  3. Step 3: Cross multiply
    2,263.39x = 3,123.31 × 1,255.00
  4. Step 4: Simplify right side
    2,263.39x = 3,919,753.51
  5. Step 5: Solve for x
    x = 3,919,753.51/2,263.39
  6. Step 6: Final answer
    x = 1,731.80

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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.