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Finding the Fourth Proportional to 1,390.08, 1,906.80 and 1,361.28

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Solution

The fourth proportional to 1,390.08, 1,906.80 and 1,361.28 is: 1,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.08 : 1,906.80 = 1,361.28 : x
  2. Step 2: Convert to fraction form
    1,390.08/1,906.80 = 1,361.28/x
  3. Step 3: Cross multiply
    1,390.08x = 1,906.80 × 1,361.28
  4. Step 4: Simplify right side
    1,390.08x = 2,595,688.70
  5. Step 5: Solve for x
    x = 2,595,688.70/1,390.08
  6. Step 6: Final answer
    x = 1,867.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.