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Finding the Fourth Proportional to 2,113.25, 3,170.10 and 726.20

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Solution

The fourth proportional to 2,113.25, 3,170.10 and 726.20 is: 1,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.25 : 3,170.10 = 726.20 : x
  2. Step 2: Convert to fraction form
    2,113.25/3,170.10 = 726.20/x
  3. Step 3: Cross multiply
    2,113.25x = 3,170.10 × 726.20
  4. Step 4: Simplify right side
    2,113.25x = 2,302,126.62
  5. Step 5: Solve for x
    x = 2,302,126.62/2,113.25
  6. Step 6: Final answer
    x = 1,089.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.