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Finding the Fourth Proportional to 1,963.29, 2,945.04 and 502.46

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Solution

The fourth proportional to 1,963.29, 2,945.04 and 502.46 is: 753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.29 : 2,945.04 = 502.46 : x
  2. Step 2: Convert to fraction form
    1,963.29/2,945.04 = 502.46/x
  3. Step 3: Cross multiply
    1,963.29x = 2,945.04 × 502.46
  4. Step 4: Simplify right side
    1,963.29x = 1,479,750.07
  5. Step 5: Solve for x
    x = 1,479,750.07/1,963.29
  6. Step 6: Final answer
    x = 753.71

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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.