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Finding the Fourth Proportional to 2,017.73, 3,026.92 and 701.14

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Solution

The fourth proportional to 2,017.73, 3,026.92 and 701.14 is: 1,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.73 : 3,026.92 = 701.14 : x
  2. Step 2: Convert to fraction form
    2,017.73/3,026.92 = 701.14/x
  3. Step 3: Cross multiply
    2,017.73x = 3,026.92 × 701.14
  4. Step 4: Simplify right side
    2,017.73x = 2,122,294.69
  5. Step 5: Solve for x
    x = 2,122,294.69/2,017.73
  6. Step 6: Final answer
    x = 1,051.82

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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.