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Finding the Fourth Proportional to 2,033.99, 3,050.93 and 573.10

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Solution

The fourth proportional to 2,033.99, 3,050.93 and 573.10 is: 859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.99 : 3,050.93 = 573.10 : x
  2. Step 2: Convert to fraction form
    2,033.99/3,050.93 = 573.10/x
  3. Step 3: Cross multiply
    2,033.99x = 3,050.93 × 573.10
  4. Step 4: Simplify right side
    2,033.99x = 1,748,487.98
  5. Step 5: Solve for x
    x = 1,748,487.98/2,033.99
  6. Step 6: Final answer
    x = 859.63

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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.