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Finding the Fourth Proportional to 3,103.56, 4,657.62 and 2,284.08

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Solution

The fourth proportional to 3,103.56, 4,657.62 and 2,284.08 is: 3,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.56 : 4,657.62 = 2,284.08 : x
  2. Step 2: Convert to fraction form
    3,103.56/4,657.62 = 2,284.08/x
  3. Step 3: Cross multiply
    3,103.56x = 4,657.62 × 2,284.08
  4. Step 4: Simplify right side
    3,103.56x = 10,638,376.69
  5. Step 5: Solve for x
    x = 10,638,376.69/3,103.56
  6. Step 6: Final answer
    x = 3,427.80

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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.