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Finding the Fourth Proportional to 2,288.45, 3,448.79 and 2,069.32

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Solution

The fourth proportional to 2,288.45, 3,448.79 and 2,069.32 is: 3,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.45 : 3,448.79 = 2,069.32 : x
  2. Step 2: Convert to fraction form
    2,288.45/3,448.79 = 2,069.32/x
  3. Step 3: Cross multiply
    2,288.45x = 3,448.79 × 2,069.32
  4. Step 4: Simplify right side
    2,288.45x = 7,136,650.12
  5. Step 5: Solve for x
    x = 7,136,650.12/2,288.45
  6. Step 6: Final answer
    x = 3,118.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.