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Finding the Fourth Proportional to 2,026.41, 3,040.98 and 793.67

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Solution

The fourth proportional to 2,026.41, 3,040.98 and 793.67 is: 1,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.41 : 3,040.98 = 793.67 : x
  2. Step 2: Convert to fraction form
    2,026.41/3,040.98 = 793.67/x
  3. Step 3: Cross multiply
    2,026.41x = 3,040.98 × 793.67
  4. Step 4: Simplify right side
    2,026.41x = 2,413,531.66
  5. Step 5: Solve for x
    x = 2,413,531.66/2,026.41
  6. Step 6: Final answer
    x = 1,191.04

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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.