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Finding the Fourth Proportional to 2,113.05, 3,168.87 and 726.35

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Solution

The fourth proportional to 2,113.05, 3,168.87 and 726.35 is: 1,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.05 : 3,168.87 = 726.35 : x
  2. Step 2: Convert to fraction form
    2,113.05/3,168.87 = 726.35/x
  3. Step 3: Cross multiply
    2,113.05x = 3,168.87 × 726.35
  4. Step 4: Simplify right side
    2,113.05x = 2,301,708.72
  5. Step 5: Solve for x
    x = 2,301,708.72/2,113.05
  6. Step 6: Final answer
    x = 1,089.28

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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.