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Finding the Fourth Proportional to 3,204.92, 4,798.02 and 2,897.48

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Solution

The fourth proportional to 3,204.92, 4,798.02 and 2,897.48 is: 4,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.92 : 4,798.02 = 2,897.48 : x
  2. Step 2: Convert to fraction form
    3,204.92/4,798.02 = 2,897.48/x
  3. Step 3: Cross multiply
    3,204.92x = 4,798.02 × 2,897.48
  4. Step 4: Simplify right side
    3,204.92x = 13,902,166.99
  5. Step 5: Solve for x
    x = 13,902,166.99/3,204.92
  6. Step 6: Final answer
    x = 4,337.76

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1.5x scale

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.