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Finding the Fourth Proportional to 2,361.88, 3,259.14 and 1,367.02

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Solution

The fourth proportional to 2,361.88, 3,259.14 and 1,367.02 is: 1,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.88 : 3,259.14 = 1,367.02 : x
  2. Step 2: Convert to fraction form
    2,361.88/3,259.14 = 1,367.02/x
  3. Step 3: Cross multiply
    2,361.88x = 3,259.14 × 1,367.02
  4. Step 4: Simplify right side
    2,361.88x = 4,455,309.56
  5. Step 5: Solve for x
    x = 4,455,309.56/2,361.88
  6. Step 6: Final answer
    x = 1,886.34

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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.