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Finding the Fourth Proportional to 2,027.59, 3,041.08 and 795.85

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Solution

The fourth proportional to 2,027.59, 3,041.08 and 795.85 is: 1,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.59 : 3,041.08 = 795.85 : x
  2. Step 2: Convert to fraction form
    2,027.59/3,041.08 = 795.85/x
  3. Step 3: Cross multiply
    2,027.59x = 3,041.08 × 795.85
  4. Step 4: Simplify right side
    2,027.59x = 2,420,233.93
  5. Step 5: Solve for x
    x = 2,420,233.93/2,027.59
  6. Step 6: Final answer
    x = 1,193.65

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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.