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Finding the Fourth Proportional to 1,754.96, 2,632.53 and 1,496.76

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Solution

The fourth proportional to 1,754.96, 2,632.53 and 1,496.76 is: 2,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.96 : 2,632.53 = 1,496.76 : x
  2. Step 2: Convert to fraction form
    1,754.96/2,632.53 = 1,496.76/x
  3. Step 3: Cross multiply
    1,754.96x = 2,632.53 × 1,496.76
  4. Step 4: Simplify right side
    1,754.96x = 3,940,265.60
  5. Step 5: Solve for x
    x = 3,940,265.60/1,754.96
  6. Step 6: Final answer
    x = 2,245.22

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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.