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Finding the Fourth Proportional to 2,083.70, 2,875.81 and 1,199.33

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Solution

The fourth proportional to 2,083.70, 2,875.81 and 1,199.33 is: 1,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.70 : 2,875.81 = 1,199.33 : x
  2. Step 2: Convert to fraction form
    2,083.70/2,875.81 = 1,199.33/x
  3. Step 3: Cross multiply
    2,083.70x = 2,875.81 × 1,199.33
  4. Step 4: Simplify right side
    2,083.70x = 3,449,030.83
  5. Step 5: Solve for x
    x = 3,449,030.83/2,083.70
  6. Step 6: Final answer
    x = 1,655.25

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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.