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Finding the Fourth Proportional to 2,263.48, 3,394.37 and 947.33

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Solution

The fourth proportional to 2,263.48, 3,394.37 and 947.33 is: 1,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.48 : 3,394.37 = 947.33 : x
  2. Step 2: Convert to fraction form
    2,263.48/3,394.37 = 947.33/x
  3. Step 3: Cross multiply
    2,263.48x = 3,394.37 × 947.33
  4. Step 4: Simplify right side
    2,263.48x = 3,215,576.41
  5. Step 5: Solve for x
    x = 3,215,576.41/2,263.48
  6. Step 6: Final answer
    x = 1,420.63

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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.