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Finding the Fourth Proportional to 3,104.53, 4,284.16 and 1,778.15

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Solution

The fourth proportional to 3,104.53, 4,284.16 and 1,778.15 is: 2,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.53 : 4,284.16 = 1,778.15 : x
  2. Step 2: Convert to fraction form
    3,104.53/4,284.16 = 1,778.15/x
  3. Step 3: Cross multiply
    3,104.53x = 4,284.16 × 1,778.15
  4. Step 4: Simplify right side
    3,104.53x = 7,617,885.37
  5. Step 5: Solve for x
    x = 7,617,885.37/3,104.53
  6. Step 6: Final answer
    x = 2,453.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.