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Finding the Fourth Proportional to 1,822.74, 2,734.41 and 956.82

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Solution

The fourth proportional to 1,822.74, 2,734.41 and 956.82 is: 1,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.74 : 2,734.41 = 956.82 : x
  2. Step 2: Convert to fraction form
    1,822.74/2,734.41 = 956.82/x
  3. Step 3: Cross multiply
    1,822.74x = 2,734.41 × 956.82
  4. Step 4: Simplify right side
    1,822.74x = 2,616,338.18
  5. Step 5: Solve for x
    x = 2,616,338.18/1,822.74
  6. Step 6: Final answer
    x = 1,435.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.