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Finding the Fourth Proportional to 2,037.85, 3,056.59 and 576.97

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Solution

The fourth proportional to 2,037.85, 3,056.59 and 576.97 is: 865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.85 : 3,056.59 = 576.97 : x
  2. Step 2: Convert to fraction form
    2,037.85/3,056.59 = 576.97/x
  3. Step 3: Cross multiply
    2,037.85x = 3,056.59 × 576.97
  4. Step 4: Simplify right side
    2,037.85x = 1,763,560.73
  5. Step 5: Solve for x
    x = 1,763,560.73/2,037.85
  6. Step 6: Final answer
    x = 865.40

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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.