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Finding the Fourth Proportional to 3,143.23, 4,715.35 and 951.78

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Solution

The fourth proportional to 3,143.23, 4,715.35 and 951.78 is: 1,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.23 : 4,715.35 = 951.78 : x
  2. Step 2: Convert to fraction form
    3,143.23/4,715.35 = 951.78/x
  3. Step 3: Cross multiply
    3,143.23x = 4,715.35 × 951.78
  4. Step 4: Simplify right side
    3,143.23x = 4,487,952.25
  5. Step 5: Solve for x
    x = 4,487,952.25/3,143.23
  6. Step 6: Final answer
    x = 1,427.82

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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.