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Finding the Fourth Proportional to 2,037.58, 3,056.34 and 650.90

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Solution

The fourth proportional to 2,037.58, 3,056.34 and 650.90 is: 976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.58 : 3,056.34 = 650.90 : x
  2. Step 2: Convert to fraction form
    2,037.58/3,056.34 = 650.90/x
  3. Step 3: Cross multiply
    2,037.58x = 3,056.34 × 650.90
  4. Step 4: Simplify right side
    2,037.58x = 1,989,353.98
  5. Step 5: Solve for x
    x = 1,989,353.98/2,037.58
  6. Step 6: Final answer
    x = 976.33

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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.