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Finding the Fourth Proportional to 1,822.73, 2,514.74 and 1,025.90

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Solution

The fourth proportional to 1,822.73, 2,514.74 and 1,025.90 is: 1,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.73 : 2,514.74 = 1,025.90 : x
  2. Step 2: Convert to fraction form
    1,822.73/2,514.74 = 1,025.90/x
  3. Step 3: Cross multiply
    1,822.73x = 2,514.74 × 1,025.90
  4. Step 4: Simplify right side
    1,822.73x = 2,579,860.47
  5. Step 5: Solve for x
    x = 2,579,860.47/1,822.73
  6. Step 6: Final answer
    x = 1,415.38

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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.