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Finding the Fourth Proportional to 1,760.25, 2,428.74 and 1,051.97

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Solution

The fourth proportional to 1,760.25, 2,428.74 and 1,051.97 is: 1,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.25 : 2,428.74 = 1,051.97 : x
  2. Step 2: Convert to fraction form
    1,760.25/2,428.74 = 1,051.97/x
  3. Step 3: Cross multiply
    1,760.25x = 2,428.74 × 1,051.97
  4. Step 4: Simplify right side
    1,760.25x = 2,554,961.62
  5. Step 5: Solve for x
    x = 2,554,961.62/1,760.25
  6. Step 6: Final answer
    x = 1,451.48

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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.