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Finding the Fourth Proportional to 2,611.70, 3,917.58 and 880.32

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Solution

The fourth proportional to 2,611.70, 3,917.58 and 880.32 is: 1,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.70 : 3,917.58 = 880.32 : x
  2. Step 2: Convert to fraction form
    2,611.70/3,917.58 = 880.32/x
  3. Step 3: Cross multiply
    2,611.70x = 3,917.58 × 880.32
  4. Step 4: Simplify right side
    2,611.70x = 3,448,724.03
  5. Step 5: Solve for x
    x = 3,448,724.03/2,611.70
  6. Step 6: Final answer
    x = 1,320.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.