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Finding the Fourth Proportional to 1,822.50, 2,734.56 and 956.61

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Solution

The fourth proportional to 1,822.50, 2,734.56 and 956.61 is: 1,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.50 : 2,734.56 = 956.61 : x
  2. Step 2: Convert to fraction form
    1,822.50/2,734.56 = 956.61/x
  3. Step 3: Cross multiply
    1,822.50x = 2,734.56 × 956.61
  4. Step 4: Simplify right side
    1,822.50x = 2,615,907.44
  5. Step 5: Solve for x
    x = 2,615,907.44/1,822.50
  6. Step 6: Final answer
    x = 1,435.34

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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.