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Finding the Fourth Proportional to 3,355, 5,032.50 and 2,431.03

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Solution

The fourth proportional to 3,355, 5,032.50 and 2,431.03 is: 3,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355 : 5,032.50 = 2,431.03 : x
  2. Step 2: Convert to fraction form
    3,355/5,032.50 = 2,431.03/x
  3. Step 3: Cross multiply
    3,355x = 5,032.50 × 2,431.03
  4. Step 4: Simplify right side
    3,355x = 12,234,158.48
  5. Step 5: Solve for x
    x = 12,234,158.48/3,355
  6. Step 6: Final answer
    x = 3,646.55

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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.