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Finding the Fourth Proportional to 3,406.98, 5,107.02 and 1,649.40

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Solution

The fourth proportional to 3,406.98, 5,107.02 and 1,649.40 is: 2,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.98 : 5,107.02 = 1,649.40 : x
  2. Step 2: Convert to fraction form
    3,406.98/5,107.02 = 1,649.40/x
  3. Step 3: Cross multiply
    3,406.98x = 5,107.02 × 1,649.40
  4. Step 4: Simplify right side
    3,406.98x = 8,423,518.79
  5. Step 5: Solve for x
    x = 8,423,518.79/3,406.98
  6. Step 6: Final answer
    x = 2,472.43

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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.