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Finding the Fourth Proportional to 2,948.69, 4,069.22 and 1,622.36

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Solution

The fourth proportional to 2,948.69, 4,069.22 and 1,622.36 is: 2,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.69 : 4,069.22 = 1,622.36 : x
  2. Step 2: Convert to fraction form
    2,948.69/4,069.22 = 1,622.36/x
  3. Step 3: Cross multiply
    2,948.69x = 4,069.22 × 1,622.36
  4. Step 4: Simplify right side
    2,948.69x = 6,601,741.82
  5. Step 5: Solve for x
    x = 6,601,741.82/2,948.69
  6. Step 6: Final answer
    x = 2,238.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.