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Finding the Fourth Proportional to 3,105.47, 4,284.33 and 1,778.46

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Solution

The fourth proportional to 3,105.47, 4,284.33 and 1,778.46 is: 2,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.47 : 4,284.33 = 1,778.46 : x
  2. Step 2: Convert to fraction form
    3,105.47/4,284.33 = 1,778.46/x
  3. Step 3: Cross multiply
    3,105.47x = 4,284.33 × 1,778.46
  4. Step 4: Simplify right side
    3,105.47x = 7,619,509.53
  5. Step 5: Solve for x
    x = 7,619,509.53/3,105.47
  6. Step 6: Final answer
    x = 2,453.58

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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.