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Finding the Fourth Proportional to 2,671.25, 3,687.49 and 1,836.26

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Solution

The fourth proportional to 2,671.25, 3,687.49 and 1,836.26 is: 2,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.25 : 3,687.49 = 1,836.26 : x
  2. Step 2: Convert to fraction form
    2,671.25/3,687.49 = 1,836.26/x
  3. Step 3: Cross multiply
    2,671.25x = 3,687.49 × 1,836.26
  4. Step 4: Simplify right side
    2,671.25x = 6,771,195.02
  5. Step 5: Solve for x
    x = 6,771,195.02/2,671.25
  6. Step 6: Final answer
    x = 2,534.85

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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.