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Finding the Fourth Proportional to 2,024.00, 2,793.10 and 1,185.14

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Solution

The fourth proportional to 2,024.00, 2,793.10 and 1,185.14 is: 1,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.00 : 2,793.10 = 1,185.14 : x
  2. Step 2: Convert to fraction form
    2,024.00/2,793.10 = 1,185.14/x
  3. Step 3: Cross multiply
    2,024.00x = 2,793.10 × 1,185.14
  4. Step 4: Simplify right side
    2,024.00x = 3,310,202.03
  5. Step 5: Solve for x
    x = 3,310,202.03/2,024.00
  6. Step 6: Final answer
    x = 1,635.48

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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.