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Finding the Fourth Proportional to 2,361.64, 3,259.12 and 1,367.26

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Solution

The fourth proportional to 2,361.64, 3,259.12 and 1,367.26 is: 1,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.64 : 3,259.12 = 1,367.26 : x
  2. Step 2: Convert to fraction form
    2,361.64/3,259.12 = 1,367.26/x
  3. Step 3: Cross multiply
    2,361.64x = 3,259.12 × 1,367.26
  4. Step 4: Simplify right side
    2,361.64x = 4,456,064.41
  5. Step 5: Solve for x
    x = 4,456,064.41/2,361.64
  6. Step 6: Final answer
    x = 1,886.85

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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.