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Finding the Fourth Proportional to 1,734.91, 2,394.23 and 948.97

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Solution

The fourth proportional to 1,734.91, 2,394.23 and 948.97 is: 1,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.91 : 2,394.23 = 948.97 : x
  2. Step 2: Convert to fraction form
    1,734.91/2,394.23 = 948.97/x
  3. Step 3: Cross multiply
    1,734.91x = 2,394.23 × 948.97
  4. Step 4: Simplify right side
    1,734.91x = 2,272,047.70
  5. Step 5: Solve for x
    x = 2,272,047.70/1,734.91
  6. Step 6: Final answer
    x = 1,309.61

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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.