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Finding the Fourth Proportional to 1,321.72, 1,823.82 and 754.46

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Solution

The fourth proportional to 1,321.72, 1,823.82 and 754.46 is: 1,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.72 : 1,823.82 = 754.46 : x
  2. Step 2: Convert to fraction form
    1,321.72/1,823.82 = 754.46/x
  3. Step 3: Cross multiply
    1,321.72x = 1,823.82 × 754.46
  4. Step 4: Simplify right side
    1,321.72x = 1,376,004.39
  5. Step 5: Solve for x
    x = 1,376,004.39/1,321.72
  6. Step 6: Final answer
    x = 1,041.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.