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Finding the Fourth Proportional to 2,114.22, 2,917.61 and 1,263.86

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Solution

The fourth proportional to 2,114.22, 2,917.61 and 1,263.86 is: 1,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.22 : 2,917.61 = 1,263.86 : x
  2. Step 2: Convert to fraction form
    2,114.22/2,917.61 = 1,263.86/x
  3. Step 3: Cross multiply
    2,114.22x = 2,917.61 × 1,263.86
  4. Step 4: Simplify right side
    2,114.22x = 3,687,450.57
  5. Step 5: Solve for x
    x = 3,687,450.57/2,114.22
  6. Step 6: Final answer
    x = 1,744.12

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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.