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Finding the Fourth Proportional to 2,560.09, 3,840.36 and 1,098.90

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Solution

The fourth proportional to 2,560.09, 3,840.36 and 1,098.90 is: 1,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.09 : 3,840.36 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    2,560.09/3,840.36 = 1,098.90/x
  3. Step 3: Cross multiply
    2,560.09x = 3,840.36 × 1,098.90
  4. Step 4: Simplify right side
    2,560.09x = 4,220,171.60
  5. Step 5: Solve for x
    x = 4,220,171.60/2,560.09
  6. Step 6: Final answer
    x = 1,648.45

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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.