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Finding the Fourth Proportional to 2,157.81, 3,238.32 and 1,603.80

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Solution

The fourth proportional to 2,157.81, 3,238.32 and 1,603.80 is: 2,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.81 : 3,238.32 = 1,603.80 : x
  2. Step 2: Convert to fraction form
    2,157.81/3,238.32 = 1,603.80/x
  3. Step 3: Cross multiply
    2,157.81x = 3,238.32 × 1,603.80
  4. Step 4: Simplify right side
    2,157.81x = 5,193,635.77
  5. Step 5: Solve for x
    x = 5,193,635.77/2,157.81
  6. Step 6: Final answer
    x = 2,406.90

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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.