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Finding the Fourth Proportional to 3,024.91, 4,537.56 and 803.71

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Solution

The fourth proportional to 3,024.91, 4,537.56 and 803.71 is: 1,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.91 : 4,537.56 = 803.71 : x
  2. Step 2: Convert to fraction form
    3,024.91/4,537.56 = 803.71/x
  3. Step 3: Cross multiply
    3,024.91x = 4,537.56 × 803.71
  4. Step 4: Simplify right side
    3,024.91x = 3,646,857.65
  5. Step 5: Solve for x
    x = 3,646,857.65/3,024.91
  6. Step 6: Final answer
    x = 1,205.61

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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.