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Finding the Fourth Proportional to 1,798.78, 2,481.27 and 1,135.39

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Solution

The fourth proportional to 1,798.78, 2,481.27 and 1,135.39 is: 1,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.78 : 2,481.27 = 1,135.39 : x
  2. Step 2: Convert to fraction form
    1,798.78/2,481.27 = 1,135.39/x
  3. Step 3: Cross multiply
    1,798.78x = 2,481.27 × 1,135.39
  4. Step 4: Simplify right side
    1,798.78x = 2,817,209.15
  5. Step 5: Solve for x
    x = 2,817,209.15/1,798.78
  6. Step 6: Final answer
    x = 1,566.18

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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.