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Finding the Fourth Proportional to 2,037.74, 3,056.97 and 651.12

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Solution

The fourth proportional to 2,037.74, 3,056.97 and 651.12 is: 976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.74 : 3,056.97 = 651.12 : x
  2. Step 2: Convert to fraction form
    2,037.74/3,056.97 = 651.12/x
  3. Step 3: Cross multiply
    2,037.74x = 3,056.97 × 651.12
  4. Step 4: Simplify right side
    2,037.74x = 1,990,454.31
  5. Step 5: Solve for x
    x = 1,990,454.31/2,037.74
  6. Step 6: Final answer
    x = 976.80

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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.