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Finding the Fourth Proportional to 1,711.62, 2,562.38 and 1,533.48

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Solution

The fourth proportional to 1,711.62, 2,562.38 and 1,533.48 is: 2,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.62 : 2,562.38 = 1,533.48 : x
  2. Step 2: Convert to fraction form
    1,711.62/2,562.38 = 1,533.48/x
  3. Step 3: Cross multiply
    1,711.62x = 2,562.38 × 1,533.48
  4. Step 4: Simplify right side
    1,711.62x = 3,929,350.82
  5. Step 5: Solve for x
    x = 3,929,350.82/1,711.62
  6. Step 6: Final answer
    x = 2,295.69

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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.