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Finding the Fourth Proportional to 2,525.77, 3,793.36 and 2,064.53

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Solution

The fourth proportional to 2,525.77, 3,793.36 and 2,064.53 is: 3,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.77 : 3,793.36 = 2,064.53 : x
  2. Step 2: Convert to fraction form
    2,525.77/3,793.36 = 2,064.53/x
  3. Step 3: Cross multiply
    2,525.77x = 3,793.36 × 2,064.53
  4. Step 4: Simplify right side
    2,525.77x = 7,831,505.52
  5. Step 5: Solve for x
    x = 7,831,505.52/2,525.77
  6. Step 6: Final answer
    x = 3,100.64

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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.