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Finding the Fourth Proportional to 2,083.92, 2,875.74 and 1,199.70

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Solution

The fourth proportional to 2,083.92, 2,875.74 and 1,199.70 is: 1,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.92 : 2,875.74 = 1,199.70 : x
  2. Step 2: Convert to fraction form
    2,083.92/2,875.74 = 1,199.70/x
  3. Step 3: Cross multiply
    2,083.92x = 2,875.74 × 1,199.70
  4. Step 4: Simplify right side
    2,083.92x = 3,450,025.28
  5. Step 5: Solve for x
    x = 3,450,025.28/2,083.92
  6. Step 6: Final answer
    x = 1,655.55

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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.