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Finding the Fourth Proportional to 1,963.91, 2,945.88 and 503.02

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Solution

The fourth proportional to 1,963.91, 2,945.88 and 503.02 is: 754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.91 : 2,945.88 = 503.02 : x
  2. Step 2: Convert to fraction form
    1,963.91/2,945.88 = 503.02/x
  3. Step 3: Cross multiply
    1,963.91x = 2,945.88 × 503.02
  4. Step 4: Simplify right side
    1,963.91x = 1,481,829.19
  5. Step 5: Solve for x
    x = 1,481,829.19/1,963.91
  6. Step 6: Final answer
    x = 754.53

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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.