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Finding the Fourth Proportional to 1,829.31, 2,743.98 and 530.79

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Solution

The fourth proportional to 1,829.31, 2,743.98 and 530.79 is: 796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.31 : 2,743.98 = 530.79 : x
  2. Step 2: Convert to fraction form
    1,829.31/2,743.98 = 530.79/x
  3. Step 3: Cross multiply
    1,829.31x = 2,743.98 × 530.79
  4. Step 4: Simplify right side
    1,829.31x = 1,456,477.14
  5. Step 5: Solve for x
    x = 1,456,477.14/1,829.31
  6. Step 6: Final answer
    x = 796.19

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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.