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Finding the Fourth Proportional to 4,563.28, 6,845.26 and 1,641.60

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Solution

The fourth proportional to 4,563.28, 6,845.26 and 1,641.60 is: 2,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.28 : 6,845.26 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    4,563.28/6,845.26 = 1,641.60/x
  3. Step 3: Cross multiply
    4,563.28x = 6,845.26 × 1,641.60
  4. Step 4: Simplify right side
    4,563.28x = 11,237,178.82
  5. Step 5: Solve for x
    x = 11,237,178.82/4,563.28
  6. Step 6: Final answer
    x = 2,462.52

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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.