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Finding the Fourth Proportional to 2,024.05, 3,037.02 and 791.14

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Solution

The fourth proportional to 2,024.05, 3,037.02 and 791.14 is: 1,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.05 : 3,037.02 = 791.14 : x
  2. Step 2: Convert to fraction form
    2,024.05/3,037.02 = 791.14/x
  3. Step 3: Cross multiply
    2,024.05x = 3,037.02 × 791.14
  4. Step 4: Simplify right side
    2,024.05x = 2,402,708.00
  5. Step 5: Solve for x
    x = 2,402,708.00/2,024.05
  6. Step 6: Final answer
    x = 1,187.08

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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.