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Finding the Fourth Proportional to 2,382.63, 3,572.64 and 1,083.39

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Solution

The fourth proportional to 2,382.63, 3,572.64 and 1,083.39 is: 1,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.63 : 3,572.64 = 1,083.39 : x
  2. Step 2: Convert to fraction form
    2,382.63/3,572.64 = 1,083.39/x
  3. Step 3: Cross multiply
    2,382.63x = 3,572.64 × 1,083.39
  4. Step 4: Simplify right side
    2,382.63x = 3,870,562.45
  5. Step 5: Solve for x
    x = 3,870,562.45/2,382.63
  6. Step 6: Final answer
    x = 1,624.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.