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Finding the Fourth Proportional to 2,559.54, 3,840.66 and 1,098.30

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Solution

The fourth proportional to 2,559.54, 3,840.66 and 1,098.30 is: 1,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.54 : 3,840.66 = 1,098.30 : x
  2. Step 2: Convert to fraction form
    2,559.54/3,840.66 = 1,098.30/x
  3. Step 3: Cross multiply
    2,559.54x = 3,840.66 × 1,098.30
  4. Step 4: Simplify right side
    2,559.54x = 4,218,196.88
  5. Step 5: Solve for x
    x = 4,218,196.88/2,559.54
  6. Step 6: Final answer
    x = 1,648.03

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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.