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Finding the Fourth Proportional to 2,033.12, 3,049.68 and 572.16

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Solution

The fourth proportional to 2,033.12, 3,049.68 and 572.16 is: 858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.12 : 3,049.68 = 572.16 : x
  2. Step 2: Convert to fraction form
    2,033.12/3,049.68 = 572.16/x
  3. Step 3: Cross multiply
    2,033.12x = 3,049.68 × 572.16
  4. Step 4: Simplify right side
    2,033.12x = 1,744,904.91
  5. Step 5: Solve for x
    x = 1,744,904.91/2,033.12
  6. Step 6: Final answer
    x = 858.24

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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.