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Finding the Fourth Proportional to 1,429.62, 2,145.24 and 812.94

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Solution

The fourth proportional to 1,429.62, 2,145.24 and 812.94 is: 1,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.62 : 2,145.24 = 812.94 : x
  2. Step 2: Convert to fraction form
    1,429.62/2,145.24 = 812.94/x
  3. Step 3: Cross multiply
    1,429.62x = 2,145.24 × 812.94
  4. Step 4: Simplify right side
    1,429.62x = 1,743,951.41
  5. Step 5: Solve for x
    x = 1,743,951.41/1,429.62
  6. Step 6: Final answer
    x = 1,219.87

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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.