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Finding the Fourth Proportional to 3,098.92, 4,649.97 and 2,059.64

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Solution

The fourth proportional to 3,098.92, 4,649.97 and 2,059.64 is: 3,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.92 : 4,649.97 = 2,059.64 : x
  2. Step 2: Convert to fraction form
    3,098.92/4,649.97 = 2,059.64/x
  3. Step 3: Cross multiply
    3,098.92x = 4,649.97 × 2,059.64
  4. Step 4: Simplify right side
    3,098.92x = 9,577,240.96
  5. Step 5: Solve for x
    x = 9,577,240.96/3,098.92
  6. Step 6: Final answer
    x = 3,090.51

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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.