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Finding the Fourth Proportional to 2,037.48, 2,811.48 and 1,198.44

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Solution

The fourth proportional to 2,037.48, 2,811.48 and 1,198.44 is: 1,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.48 : 2,811.48 = 1,198.44 : x
  2. Step 2: Convert to fraction form
    2,037.48/2,811.48 = 1,198.44/x
  3. Step 3: Cross multiply
    2,037.48x = 2,811.48 × 1,198.44
  4. Step 4: Simplify right side
    2,037.48x = 3,369,390.09
  5. Step 5: Solve for x
    x = 3,369,390.09/2,037.48
  6. Step 6: Final answer
    x = 1,653.70

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1.5x scale

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.