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Finding the Fourth Proportional to 2,200.84, 3,037.13 and 1,192.54

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Solution

The fourth proportional to 2,200.84, 3,037.13 and 1,192.54 is: 1,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.84 : 3,037.13 = 1,192.54 : x
  2. Step 2: Convert to fraction form
    2,200.84/3,037.13 = 1,192.54/x
  3. Step 3: Cross multiply
    2,200.84x = 3,037.13 × 1,192.54
  4. Step 4: Simplify right side
    2,200.84x = 3,621,899.01
  5. Step 5: Solve for x
    x = 3,621,899.01/2,200.84
  6. Step 6: Final answer
    x = 1,645.69

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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.