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Finding the Fourth Proportional to 2,037.90, 3,057.23 and 650.86

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Solution

The fourth proportional to 2,037.90, 3,057.23 and 650.86 is: 976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.90 : 3,057.23 = 650.86 : x
  2. Step 2: Convert to fraction form
    2,037.90/3,057.23 = 650.86/x
  3. Step 3: Cross multiply
    2,037.90x = 3,057.23 × 650.86
  4. Step 4: Simplify right side
    2,037.90x = 1,989,828.72
  5. Step 5: Solve for x
    x = 1,989,828.72/2,037.90
  6. Step 6: Final answer
    x = 976.41

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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.