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Finding the Fourth Proportional to 3,287.31, 4,930.92 and 947.34

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Solution

The fourth proportional to 3,287.31, 4,930.92 and 947.34 is: 1,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.31 : 4,930.92 = 947.34 : x
  2. Step 2: Convert to fraction form
    3,287.31/4,930.92 = 947.34/x
  3. Step 3: Cross multiply
    3,287.31x = 4,930.92 × 947.34
  4. Step 4: Simplify right side
    3,287.31x = 4,671,257.75
  5. Step 5: Solve for x
    x = 4,671,257.75/3,287.31
  6. Step 6: Final answer
    x = 1,421.00

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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.