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Finding the Fourth Proportional to 2,090.46, 3,135.78 and 791.76

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Solution

The fourth proportional to 2,090.46, 3,135.78 and 791.76 is: 1,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.46 : 3,135.78 = 791.76 : x
  2. Step 2: Convert to fraction form
    2,090.46/3,135.78 = 791.76/x
  3. Step 3: Cross multiply
    2,090.46x = 3,135.78 × 791.76
  4. Step 4: Simplify right side
    2,090.46x = 2,482,785.17
  5. Step 5: Solve for x
    x = 2,482,785.17/2,090.46
  6. Step 6: Final answer
    x = 1,187.67

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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.