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Finding the Fourth Proportional to 2,037.99, 3,057.12 and 577.02

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Solution

The fourth proportional to 2,037.99, 3,057.12 and 577.02 is: 865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.99 : 3,057.12 = 577.02 : x
  2. Step 2: Convert to fraction form
    2,037.99/3,057.12 = 577.02/x
  3. Step 3: Cross multiply
    2,037.99x = 3,057.12 × 577.02
  4. Step 4: Simplify right side
    2,037.99x = 1,764,019.38
  5. Step 5: Solve for x
    x = 1,764,019.38/2,037.99
  6. Step 6: Final answer
    x = 865.57

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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.