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Finding the Fourth Proportional to 1,963.99, 2,945.99 and 503.14

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Solution

The fourth proportional to 1,963.99, 2,945.99 and 503.14 is: 754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.99 : 2,945.99 = 503.14 : x
  2. Step 2: Convert to fraction form
    1,963.99/2,945.99 = 503.14/x
  3. Step 3: Cross multiply
    1,963.99x = 2,945.99 × 503.14
  4. Step 4: Simplify right side
    1,963.99x = 1,482,245.41
  5. Step 5: Solve for x
    x = 1,482,245.41/1,963.99
  6. Step 6: Final answer
    x = 754.71

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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.