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Finding the Fourth Proportional to 1,963.49, 2,945.63 and 576.87

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Solution

The fourth proportional to 1,963.49, 2,945.63 and 576.87 is: 865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.49 : 2,945.63 = 576.87 : x
  2. Step 2: Convert to fraction form
    1,963.49/2,945.63 = 576.87/x
  3. Step 3: Cross multiply
    1,963.49x = 2,945.63 × 576.87
  4. Step 4: Simplify right side
    1,963.49x = 1,699,245.58
  5. Step 5: Solve for x
    x = 1,699,245.58/1,963.49
  6. Step 6: Final answer
    x = 865.42

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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.