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Finding the Fourth Proportional to 1,963.10, 2,944.70 and 502.26

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Solution

The fourth proportional to 1,963.10, 2,944.70 and 502.26 is: 753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.10 : 2,944.70 = 502.26 : x
  2. Step 2: Convert to fraction form
    1,963.10/2,944.70 = 502.26/x
  3. Step 3: Cross multiply
    1,963.10x = 2,944.70 × 502.26
  4. Step 4: Simplify right side
    1,963.10x = 1,479,005.02
  5. Step 5: Solve for x
    x = 1,479,005.02/1,963.10
  6. Step 6: Final answer
    x = 753.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.