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Finding the Fourth Proportional to 1,733.78, 2,393.80 and 1,262.54

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Solution

The fourth proportional to 1,733.78, 2,393.80 and 1,262.54 is: 1,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.78 : 2,393.80 = 1,262.54 : x
  2. Step 2: Convert to fraction form
    1,733.78/2,393.80 = 1,262.54/x
  3. Step 3: Cross multiply
    1,733.78x = 2,393.80 × 1,262.54
  4. Step 4: Simplify right side
    1,733.78x = 3,022,268.25
  5. Step 5: Solve for x
    x = 3,022,268.25/1,733.78
  6. Step 6: Final answer
    x = 1,743.17

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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.