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Finding the Fourth Proportional to 1,678.27, 2,518.23 and 754.48

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Solution

The fourth proportional to 1,678.27, 2,518.23 and 754.48 is: 1,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.27 : 2,518.23 = 754.48 : x
  2. Step 2: Convert to fraction form
    1,678.27/2,518.23 = 754.48/x
  3. Step 3: Cross multiply
    1,678.27x = 2,518.23 × 754.48
  4. Step 4: Simplify right side
    1,678.27x = 1,899,954.17
  5. Step 5: Solve for x
    x = 1,899,954.17/1,678.27
  6. Step 6: Final answer
    x = 1,132.09

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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.