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Finding the Fourth Proportional to 1,938.98, 2,675.74 and 1,099.66

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Solution

The fourth proportional to 1,938.98, 2,675.74 and 1,099.66 is: 1,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.98 : 2,675.74 = 1,099.66 : x
  2. Step 2: Convert to fraction form
    1,938.98/2,675.74 = 1,099.66/x
  3. Step 3: Cross multiply
    1,938.98x = 2,675.74 × 1,099.66
  4. Step 4: Simplify right side
    1,938.98x = 2,942,404.25
  5. Step 5: Solve for x
    x = 2,942,404.25/1,938.98
  6. Step 6: Final answer
    x = 1,517.50

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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.