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Finding the Fourth Proportional to 2,145.16, 3,218 and 912.88

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Solution

The fourth proportional to 2,145.16, 3,218 and 912.88 is: 1,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.16 : 3,218 = 912.88 : x
  2. Step 2: Convert to fraction form
    2,145.16/3,218 = 912.88/x
  3. Step 3: Cross multiply
    2,145.16x = 3,218 × 912.88
  4. Step 4: Simplify right side
    2,145.16x = 2,937,647.84
  5. Step 5: Solve for x
    x = 2,937,647.84/2,145.16
  6. Step 6: Final answer
    x = 1,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.