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Finding the Fourth Proportional to 1,906.15, 2,854.21 and 1,533.98

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Solution

The fourth proportional to 1,906.15, 2,854.21 and 1,533.98 is: 2,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.15 : 2,854.21 = 1,533.98 : x
  2. Step 2: Convert to fraction form
    1,906.15/2,854.21 = 1,533.98/x
  3. Step 3: Cross multiply
    1,906.15x = 2,854.21 × 1,533.98
  4. Step 4: Simplify right side
    1,906.15x = 4,378,301.06
  5. Step 5: Solve for x
    x = 4,378,301.06/1,906.15
  6. Step 6: Final answer
    x = 2,296.93

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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.