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Finding the Fourth Proportional to 1,829.31, 2,743.97 and 530.97

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Solution

The fourth proportional to 1,829.31, 2,743.97 and 530.97 is: 796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.31 : 2,743.97 = 530.97 : x
  2. Step 2: Convert to fraction form
    1,829.31/2,743.97 = 530.97/x
  3. Step 3: Cross multiply
    1,829.31x = 2,743.97 × 530.97
  4. Step 4: Simplify right side
    1,829.31x = 1,456,963.10
  5. Step 5: Solve for x
    x = 1,456,963.10/1,829.31
  6. Step 6: Final answer
    x = 796.46

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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.