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Finding the Fourth Proportional to 2,099.73, 3,149.51 and 539.74

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Solution

The fourth proportional to 2,099.73, 3,149.51 and 539.74 is: 809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.73 : 3,149.51 = 539.74 : x
  2. Step 2: Convert to fraction form
    2,099.73/3,149.51 = 539.74/x
  3. Step 3: Cross multiply
    2,099.73x = 3,149.51 × 539.74
  4. Step 4: Simplify right side
    2,099.73x = 1,699,916.53
  5. Step 5: Solve for x
    x = 1,699,916.53/2,099.73
  6. Step 6: Final answer
    x = 809.59

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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.