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Finding the Fourth Proportional to 2,980.78, 4,469.84 and 1,593.86

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Solution

The fourth proportional to 2,980.78, 4,469.84 and 1,593.86 is: 2,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.78 : 4,469.84 = 1,593.86 : x
  2. Step 2: Convert to fraction form
    2,980.78/4,469.84 = 1,593.86/x
  3. Step 3: Cross multiply
    2,980.78x = 4,469.84 × 1,593.86
  4. Step 4: Simplify right side
    2,980.78x = 7,124,299.18
  5. Step 5: Solve for x
    x = 7,124,299.18/2,980.78
  6. Step 6: Final answer
    x = 2,390.08

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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.