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Finding the Fourth Proportional to 1,723.69, 2,587.16 and 1,146.97

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Solution

The fourth proportional to 1,723.69, 2,587.16 and 1,146.97 is: 1,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.69 : 2,587.16 = 1,146.97 : x
  2. Step 2: Convert to fraction form
    1,723.69/2,587.16 = 1,146.97/x
  3. Step 3: Cross multiply
    1,723.69x = 2,587.16 × 1,146.97
  4. Step 4: Simplify right side
    1,723.69x = 2,967,394.91
  5. Step 5: Solve for x
    x = 2,967,394.91/1,723.69
  6. Step 6: Final answer
    x = 1,721.54

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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.