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Finding the Fourth Proportional to 2,083.87, 2,875.64 and 1,199.55

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Solution

The fourth proportional to 2,083.87, 2,875.64 and 1,199.55 is: 1,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.87 : 2,875.64 = 1,199.55 : x
  2. Step 2: Convert to fraction form
    2,083.87/2,875.64 = 1,199.55/x
  3. Step 3: Cross multiply
    2,083.87x = 2,875.64 × 1,199.55
  4. Step 4: Simplify right side
    2,083.87x = 3,449,478.75
  5. Step 5: Solve for x
    x = 3,449,478.75/2,083.87
  6. Step 6: Final answer
    x = 1,655.32

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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.