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Finding the Fourth Proportional to 4,564.80, 6,840.96 and 2,098.56

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Solution

The fourth proportional to 4,564.80, 6,840.96 and 2,098.56 is: 3,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.80 : 6,840.96 = 2,098.56 : x
  2. Step 2: Convert to fraction form
    4,564.80/6,840.96 = 2,098.56/x
  3. Step 3: Cross multiply
    4,564.80x = 6,840.96 × 2,098.56
  4. Step 4: Simplify right side
    4,564.80x = 14,356,165.02
  5. Step 5: Solve for x
    x = 14,356,165.02/4,564.80
  6. Step 6: Final answer
    x = 3,144.97

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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.