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Finding the Fourth Proportional to 2,901.82, 4,353.26 and 927.72

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Solution

The fourth proportional to 2,901.82, 4,353.26 and 927.72 is: 1,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.82 : 4,353.26 = 927.72 : x
  2. Step 2: Convert to fraction form
    2,901.82/4,353.26 = 927.72/x
  3. Step 3: Cross multiply
    2,901.82x = 4,353.26 × 927.72
  4. Step 4: Simplify right side
    2,901.82x = 4,038,606.37
  5. Step 5: Solve for x
    x = 4,038,606.37/2,901.82
  6. Step 6: Final answer
    x = 1,391.75

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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.