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Finding the Fourth Proportional to 2,653.53, 3,977.52 and 897.21

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Solution

The fourth proportional to 2,653.53, 3,977.52 and 897.21 is: 1,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.53 : 3,977.52 = 897.21 : x
  2. Step 2: Convert to fraction form
    2,653.53/3,977.52 = 897.21/x
  3. Step 3: Cross multiply
    2,653.53x = 3,977.52 × 897.21
  4. Step 4: Simplify right side
    2,653.53x = 3,568,670.72
  5. Step 5: Solve for x
    x = 3,568,670.72/2,653.53
  6. Step 6: Final answer
    x = 1,344.88

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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.