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Finding the Fourth Proportional to 2,112.52, 3,168.74 and 573.48

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Solution

The fourth proportional to 2,112.52, 3,168.74 and 573.48 is: 860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.52 : 3,168.74 = 573.48 : x
  2. Step 2: Convert to fraction form
    2,112.52/3,168.74 = 573.48/x
  3. Step 3: Cross multiply
    2,112.52x = 3,168.74 × 573.48
  4. Step 4: Simplify right side
    2,112.52x = 1,817,209.02
  5. Step 5: Solve for x
    x = 1,817,209.02/2,112.52
  6. Step 6: Final answer
    x = 860.21

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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.