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Finding the Fourth Proportional to 2,033.53, 3,050.42 and 572.81

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Solution

The fourth proportional to 2,033.53, 3,050.42 and 572.81 is: 859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.53 : 3,050.42 = 572.81 : x
  2. Step 2: Convert to fraction form
    2,033.53/3,050.42 = 572.81/x
  3. Step 3: Cross multiply
    2,033.53x = 3,050.42 × 572.81
  4. Step 4: Simplify right side
    2,033.53x = 1,747,292.96
  5. Step 5: Solve for x
    x = 1,747,292.96/2,033.53
  6. Step 6: Final answer
    x = 859.24

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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.