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Finding the Fourth Proportional to 1,823.31, 2,734.83 and 726.98

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Solution

The fourth proportional to 1,823.31, 2,734.83 and 726.98 is: 1,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.31 : 2,734.83 = 726.98 : x
  2. Step 2: Convert to fraction form
    1,823.31/2,734.83 = 726.98/x
  3. Step 3: Cross multiply
    1,823.31x = 2,734.83 × 726.98
  4. Step 4: Simplify right side
    1,823.31x = 1,988,153.04
  5. Step 5: Solve for x
    x = 1,988,153.04/1,823.31
  6. Step 6: Final answer
    x = 1,090.41

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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.