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Finding the Fourth Proportional to 2,091.02, 3,134.30 and 993.06

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Solution

The fourth proportional to 2,091.02, 3,134.30 and 993.06 is: 1,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.02 : 3,134.30 = 993.06 : x
  2. Step 2: Convert to fraction form
    2,091.02/3,134.30 = 993.06/x
  3. Step 3: Cross multiply
    2,091.02x = 3,134.30 × 993.06
  4. Step 4: Simplify right side
    2,091.02x = 3,112,542.99
  5. Step 5: Solve for x
    x = 3,112,542.99/2,091.02
  6. Step 6: Final answer
    x = 1,488.53

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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.