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Finding the Fourth Proportional to 3,037.76, 4,560.96 and 1,994.48

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Solution

The fourth proportional to 3,037.76, 4,560.96 and 1,994.48 is: 2,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.76 : 4,560.96 = 1,994.48 : x
  2. Step 2: Convert to fraction form
    3,037.76/4,560.96 = 1,994.48/x
  3. Step 3: Cross multiply
    3,037.76x = 4,560.96 × 1,994.48
  4. Step 4: Simplify right side
    3,037.76x = 9,096,743.50
  5. Step 5: Solve for x
    x = 9,096,743.50/3,037.76
  6. Step 6: Final answer
    x = 2,994.56

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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.