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Finding the Fourth Proportional to 3,029.52, 4,544.72 and 1,468.25

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Solution

The fourth proportional to 3,029.52, 4,544.72 and 1,468.25 is: 2,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.52 : 4,544.72 = 1,468.25 : x
  2. Step 2: Convert to fraction form
    3,029.52/4,544.72 = 1,468.25/x
  3. Step 3: Cross multiply
    3,029.52x = 4,544.72 × 1,468.25
  4. Step 4: Simplify right side
    3,029.52x = 6,672,785.14
  5. Step 5: Solve for x
    x = 6,672,785.14/3,029.52
  6. Step 6: Final answer
    x = 2,202.59

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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.