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Finding the Fourth Proportional to 2,037.96, 3,057.30 and 651.42

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Solution

The fourth proportional to 2,037.96, 3,057.30 and 651.42 is: 977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.96 : 3,057.30 = 651.42 : x
  2. Step 2: Convert to fraction form
    2,037.96/3,057.30 = 651.42/x
  3. Step 3: Cross multiply
    2,037.96x = 3,057.30 × 651.42
  4. Step 4: Simplify right side
    2,037.96x = 1,991,586.37
  5. Step 5: Solve for x
    x = 1,991,586.37/2,037.96
  6. Step 6: Final answer
    x = 977.25

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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.