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Finding the Fourth Proportional to 2,037.58, 3,054.87 and 650.12

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Solution

The fourth proportional to 2,037.58, 3,054.87 and 650.12 is: 974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.58 : 3,054.87 = 650.12 : x
  2. Step 2: Convert to fraction form
    2,037.58/3,054.87 = 650.12/x
  3. Step 3: Cross multiply
    2,037.58x = 3,054.87 × 650.12
  4. Step 4: Simplify right side
    2,037.58x = 1,986,014.37
  5. Step 5: Solve for x
    x = 1,986,014.37/2,037.58
  6. Step 6: Final answer
    x = 974.69

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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.