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Finding the Fourth Proportional to 2,083.44, 2,875.77 and 1,199.87

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Solution

The fourth proportional to 2,083.44, 2,875.77 and 1,199.87 is: 1,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.44 : 2,875.77 = 1,199.87 : x
  2. Step 2: Convert to fraction form
    2,083.44/2,875.77 = 1,199.87/x
  3. Step 3: Cross multiply
    2,083.44x = 2,875.77 × 1,199.87
  4. Step 4: Simplify right side
    2,083.44x = 3,450,550.15
  5. Step 5: Solve for x
    x = 3,450,550.15/2,083.44
  6. Step 6: Final answer
    x = 1,656.18

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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.