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Finding the Fourth Proportional to 2,312.62, 3,469.81 and 1,388.83

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Solution

The fourth proportional to 2,312.62, 3,469.81 and 1,388.83 is: 2,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.62 : 3,469.81 = 1,388.83 : x
  2. Step 2: Convert to fraction form
    2,312.62/3,469.81 = 1,388.83/x
  3. Step 3: Cross multiply
    2,312.62x = 3,469.81 × 1,388.83
  4. Step 4: Simplify right side
    2,312.62x = 4,818,976.22
  5. Step 5: Solve for x
    x = 4,818,976.22/2,312.62
  6. Step 6: Final answer
    x = 2,083.77

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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.