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Finding the Fourth Proportional to 2,151.76, 3,232.50 and 1,743.52

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Solution

The fourth proportional to 2,151.76, 3,232.50 and 1,743.52 is: 2,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.76 : 3,232.50 = 1,743.52 : x
  2. Step 2: Convert to fraction form
    2,151.76/3,232.50 = 1,743.52/x
  3. Step 3: Cross multiply
    2,151.76x = 3,232.50 × 1,743.52
  4. Step 4: Simplify right side
    2,151.76x = 5,635,928.40
  5. Step 5: Solve for x
    x = 5,635,928.40/2,151.76
  6. Step 6: Final answer
    x = 2,619.22

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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.