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Finding the Fourth Proportional to 1,829.73, 2,743.40 and 659.15

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Solution

The fourth proportional to 1,829.73, 2,743.40 and 659.15 is: 988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.73 : 2,743.40 = 659.15 : x
  2. Step 2: Convert to fraction form
    1,829.73/2,743.40 = 659.15/x
  3. Step 3: Cross multiply
    1,829.73x = 2,743.40 × 659.15
  4. Step 4: Simplify right side
    1,829.73x = 1,808,295.10
  5. Step 5: Solve for x
    x = 1,808,295.10/1,829.73
  6. Step 6: Final answer
    x = 988.29

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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.