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Finding the Fourth Proportional to 2,083.38, 2,875.19 and 1,199.16

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Solution

The fourth proportional to 2,083.38, 2,875.19 and 1,199.16 is: 1,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.38 : 2,875.19 = 1,199.16 : x
  2. Step 2: Convert to fraction form
    2,083.38/2,875.19 = 1,199.16/x
  3. Step 3: Cross multiply
    2,083.38x = 2,875.19 × 1,199.16
  4. Step 4: Simplify right side
    2,083.38x = 3,447,812.84
  5. Step 5: Solve for x
    x = 3,447,812.84/2,083.38
  6. Step 6: Final answer
    x = 1,654.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.