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Finding the Fourth Proportional to 2,037.77, 3,057.53 and 651.22

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Solution

The fourth proportional to 2,037.77, 3,057.53 and 651.22 is: 977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.77 : 3,057.53 = 651.22 : x
  2. Step 2: Convert to fraction form
    2,037.77/3,057.53 = 651.22/x
  3. Step 3: Cross multiply
    2,037.77x = 3,057.53 × 651.22
  4. Step 4: Simplify right side
    2,037.77x = 1,991,124.69
  5. Step 5: Solve for x
    x = 1,991,124.69/2,037.77
  6. Step 6: Final answer
    x = 977.11

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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.