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Finding the Fourth Proportional to 2,429.35, 3,644.01 and 968.47

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Solution

The fourth proportional to 2,429.35, 3,644.01 and 968.47 is: 1,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.35 : 3,644.01 = 968.47 : x
  2. Step 2: Convert to fraction form
    2,429.35/3,644.01 = 968.47/x
  3. Step 3: Cross multiply
    2,429.35x = 3,644.01 × 968.47
  4. Step 4: Simplify right side
    2,429.35x = 3,529,105.25
  5. Step 5: Solve for x
    x = 3,529,105.25/2,429.35
  6. Step 6: Final answer
    x = 1,452.70

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Why These Related Problems?

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