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Finding the Fourth Proportional to 2,037.80, 2,812.25 and 1,198.64

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Solution

The fourth proportional to 2,037.80, 2,812.25 and 1,198.64 is: 1,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.80 : 2,812.25 = 1,198.64 : x
  2. Step 2: Convert to fraction form
    2,037.80/2,812.25 = 1,198.64/x
  3. Step 3: Cross multiply
    2,037.80x = 2,812.25 × 1,198.64
  4. Step 4: Simplify right side
    2,037.80x = 3,370,875.34
  5. Step 5: Solve for x
    x = 3,370,875.34/2,037.80
  6. Step 6: Final answer
    x = 1,654.17

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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.