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Finding the Fourth Proportional to 2,037.93, 3,057.48 and 651.48

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Solution

The fourth proportional to 2,037.93, 3,057.48 and 651.48 is: 977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.93 : 3,057.48 = 651.48 : x
  2. Step 2: Convert to fraction form
    2,037.93/3,057.48 = 651.48/x
  3. Step 3: Cross multiply
    2,037.93x = 3,057.48 × 651.48
  4. Step 4: Simplify right side
    2,037.93x = 1,991,887.07
  5. Step 5: Solve for x
    x = 1,991,887.07/2,037.93
  6. Step 6: Final answer
    x = 977.41

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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.