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Finding the Fourth Proportional to 1,951.29, 2,925.99 and 976.23

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Solution

The fourth proportional to 1,951.29, 2,925.99 and 976.23 is: 1,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.29 : 2,925.99 = 976.23 : x
  2. Step 2: Convert to fraction form
    1,951.29/2,925.99 = 976.23/x
  3. Step 3: Cross multiply
    1,951.29x = 2,925.99 × 976.23
  4. Step 4: Simplify right side
    1,951.29x = 2,856,439.22
  5. Step 5: Solve for x
    x = 2,856,439.22/1,951.29
  6. Step 6: Final answer
    x = 1,463.87

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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.