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Finding the Fourth Proportional to 1,342.11, 2,015.37 and 906.16

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Solution

The fourth proportional to 1,342.11, 2,015.37 and 906.16 is: 1,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.11 : 2,015.37 = 906.16 : x
  2. Step 2: Convert to fraction form
    1,342.11/2,015.37 = 906.16/x
  3. Step 3: Cross multiply
    1,342.11x = 2,015.37 × 906.16
  4. Step 4: Simplify right side
    1,342.11x = 1,826,247.68
  5. Step 5: Solve for x
    x = 1,826,247.68/1,342.11
  6. Step 6: Final answer
    x = 1,360.73

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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.