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Finding the Fourth Proportional to 3,099.74, 4,649.91 and 1,019.66

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Solution

The fourth proportional to 3,099.74, 4,649.91 and 1,019.66 is: 1,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.74 : 4,649.91 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    3,099.74/4,649.91 = 1,019.66/x
  3. Step 3: Cross multiply
    3,099.74x = 4,649.91 × 1,019.66
  4. Step 4: Simplify right side
    3,099.74x = 4,741,303.98
  5. Step 5: Solve for x
    x = 4,741,303.98/3,099.74
  6. Step 6: Final answer
    x = 1,529.58

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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.