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Finding the Fourth Proportional to 2,382.96, 3,569.52 and 1,767.36

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Solution

The fourth proportional to 2,382.96, 3,569.52 and 1,767.36 is: 2,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.96 : 3,569.52 = 1,767.36 : x
  2. Step 2: Convert to fraction form
    2,382.96/3,569.52 = 1,767.36/x
  3. Step 3: Cross multiply
    2,382.96x = 3,569.52 × 1,767.36
  4. Step 4: Simplify right side
    2,382.96x = 6,308,626.87
  5. Step 5: Solve for x
    x = 6,308,626.87/2,382.96
  6. Step 6: Final answer
    x = 2,647.39

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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.