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Finding the Fourth Proportional to 2,361.72, 3,259.04 and 1,366.80

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Solution

The fourth proportional to 2,361.72, 3,259.04 and 1,366.80 is: 1,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.72 : 3,259.04 = 1,366.80 : x
  2. Step 2: Convert to fraction form
    2,361.72/3,259.04 = 1,366.80/x
  3. Step 3: Cross multiply
    2,361.72x = 3,259.04 × 1,366.80
  4. Step 4: Simplify right side
    2,361.72x = 4,454,455.87
  5. Step 5: Solve for x
    x = 4,454,455.87/2,361.72
  6. Step 6: Final answer
    x = 1,886.11

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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.