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Finding the Fourth Proportional to 3,193.32, 4,407.50 and 1,777.52

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Solution

The fourth proportional to 3,193.32, 4,407.50 and 1,777.52 is: 2,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.32 : 4,407.50 = 1,777.52 : x
  2. Step 2: Convert to fraction form
    3,193.32/4,407.50 = 1,777.52/x
  3. Step 3: Cross multiply
    3,193.32x = 4,407.50 × 1,777.52
  4. Step 4: Simplify right side
    3,193.32x = 7,834,419.40
  5. Step 5: Solve for x
    x = 7,834,419.40/3,193.32
  6. Step 6: Final answer
    x = 2,453.38

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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.