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Finding the Fourth Proportional to 2,083.76, 2,875.44 and 1,199.44

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Solution

The fourth proportional to 2,083.76, 2,875.44 and 1,199.44 is: 1,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.76 : 2,875.44 = 1,199.44 : x
  2. Step 2: Convert to fraction form
    2,083.76/2,875.44 = 1,199.44/x
  3. Step 3: Cross multiply
    2,083.76x = 2,875.44 × 1,199.44
  4. Step 4: Simplify right side
    2,083.76x = 3,448,917.75
  5. Step 5: Solve for x
    x = 3,448,917.75/2,083.76
  6. Step 6: Final answer
    x = 1,655.14

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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.