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Finding the Fourth Proportional to 2,145.22, 3,218.05 and 912.75

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Solution

The fourth proportional to 2,145.22, 3,218.05 and 912.75 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.22 : 3,218.05 = 912.75 : x
  2. Step 2: Convert to fraction form
    2,145.22/3,218.05 = 912.75/x
  3. Step 3: Cross multiply
    2,145.22x = 3,218.05 × 912.75
  4. Step 4: Simplify right side
    2,145.22x = 2,937,275.14
  5. Step 5: Solve for x
    x = 2,937,275.14/2,145.22
  6. Step 6: Final answer
    x = 1,369.22

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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.