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Finding the Fourth Proportional to 3,461.99, 4,778.73 and 2,398.86

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Solution

The fourth proportional to 3,461.99, 4,778.73 and 2,398.86 is: 3,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.99 : 4,778.73 = 2,398.86 : x
  2. Step 2: Convert to fraction form
    3,461.99/4,778.73 = 2,398.86/x
  3. Step 3: Cross multiply
    3,461.99x = 4,778.73 × 2,398.86
  4. Step 4: Simplify right side
    3,461.99x = 11,463,504.25
  5. Step 5: Solve for x
    x = 11,463,504.25/3,461.99
  6. Step 6: Final answer
    x = 3,311.25

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1.5x scale

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.