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Finding the Fourth Proportional to 2,901.66, 4,352.73 and 927.56

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Solution

The fourth proportional to 2,901.66, 4,352.73 and 927.56 is: 1,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.66 : 4,352.73 = 927.56 : x
  2. Step 2: Convert to fraction form
    2,901.66/4,352.73 = 927.56/x
  3. Step 3: Cross multiply
    2,901.66x = 4,352.73 × 927.56
  4. Step 4: Simplify right side
    2,901.66x = 4,037,396.48
  5. Step 5: Solve for x
    x = 4,037,396.48/2,901.66
  6. Step 6: Final answer
    x = 1,391.41

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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.