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Finding the Fourth Proportional to 1,734.50, 2,393.61 and 948.56

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Solution

The fourth proportional to 1,734.50, 2,393.61 and 948.56 is: 1,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.50 : 2,393.61 = 948.56 : x
  2. Step 2: Convert to fraction form
    1,734.50/2,393.61 = 948.56/x
  3. Step 3: Cross multiply
    1,734.50x = 2,393.61 × 948.56
  4. Step 4: Simplify right side
    1,734.50x = 2,270,470.73
  5. Step 5: Solve for x
    x = 2,270,470.73/1,734.50
  6. Step 6: Final answer
    x = 1,309.01

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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.