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Finding the Fourth Proportional to 2,611.68, 3,917.76 and 970.32

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Solution

The fourth proportional to 2,611.68, 3,917.76 and 970.32 is: 1,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.68 : 3,917.76 = 970.32 : x
  2. Step 2: Convert to fraction form
    2,611.68/3,917.76 = 970.32/x
  3. Step 3: Cross multiply
    2,611.68x = 3,917.76 × 970.32
  4. Step 4: Simplify right side
    2,611.68x = 3,801,480.88
  5. Step 5: Solve for x
    x = 3,801,480.88/2,611.68
  6. Step 6: Final answer
    x = 1,455.57

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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.