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Finding the Fourth Proportional to 3,307.01, 4,960.49 and 841.81

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Solution

The fourth proportional to 3,307.01, 4,960.49 and 841.81 is: 1,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.01 : 4,960.49 = 841.81 : x
  2. Step 2: Convert to fraction form
    3,307.01/4,960.49 = 841.81/x
  3. Step 3: Cross multiply
    3,307.01x = 4,960.49 × 841.81
  4. Step 4: Simplify right side
    3,307.01x = 4,175,790.09
  5. Step 5: Solve for x
    x = 4,175,790.09/3,307.01
  6. Step 6: Final answer
    x = 1,262.71

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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.