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Finding the Fourth Proportional to 2,037.91, 3,056.46 and 576.67

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Solution

The fourth proportional to 2,037.91, 3,056.46 and 576.67 is: 864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.91 : 3,056.46 = 576.67 : x
  2. Step 2: Convert to fraction form
    2,037.91/3,056.46 = 576.67/x
  3. Step 3: Cross multiply
    2,037.91x = 3,056.46 × 576.67
  4. Step 4: Simplify right side
    2,037.91x = 1,762,568.79
  5. Step 5: Solve for x
    x = 1,762,568.79/2,037.91
  6. Step 6: Final answer
    x = 864.89

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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.