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Finding the Fourth Proportional to 2,429.12, 3,644.40 and 968.24

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Solution

The fourth proportional to 2,429.12, 3,644.40 and 968.24 is: 1,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.12 : 3,644.40 = 968.24 : x
  2. Step 2: Convert to fraction form
    2,429.12/3,644.40 = 968.24/x
  3. Step 3: Cross multiply
    2,429.12x = 3,644.40 × 968.24
  4. Step 4: Simplify right side
    2,429.12x = 3,528,653.86
  5. Step 5: Solve for x
    x = 3,528,653.86/2,429.12
  6. Step 6: Final answer
    x = 1,452.65

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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.