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Finding the Fourth Proportional to 2,802, 4,201.64 and 1,069.36

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Solution

The fourth proportional to 2,802, 4,201.64 and 1,069.36 is: 1,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802 : 4,201.64 = 1,069.36 : x
  2. Step 2: Convert to fraction form
    2,802/4,201.64 = 1,069.36/x
  3. Step 3: Cross multiply
    2,802x = 4,201.64 × 1,069.36
  4. Step 4: Simplify right side
    2,802x = 4,493,065.75
  5. Step 5: Solve for x
    x = 4,493,065.75/2,802
  6. Step 6: Final answer
    x = 1,603.52

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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.