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Finding the Fourth Proportional to 1,355.22, 2,032.70 and 919.27

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Solution

The fourth proportional to 1,355.22, 2,032.70 and 919.27 is: 1,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.22 : 2,032.70 = 919.27 : x
  2. Step 2: Convert to fraction form
    1,355.22/2,032.70 = 919.27/x
  3. Step 3: Cross multiply
    1,355.22x = 2,032.70 × 919.27
  4. Step 4: Simplify right side
    1,355.22x = 1,868,590.45
  5. Step 5: Solve for x
    x = 1,868,590.45/1,355.22
  6. Step 6: Final answer
    x = 1,378.81

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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.