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Finding the Fourth Proportional to 1,912.88, 2,640.12 and 1,324.16

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Solution

The fourth proportional to 1,912.88, 2,640.12 and 1,324.16 is: 1,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.88 : 2,640.12 = 1,324.16 : x
  2. Step 2: Convert to fraction form
    1,912.88/2,640.12 = 1,324.16/x
  3. Step 3: Cross multiply
    1,912.88x = 2,640.12 × 1,324.16
  4. Step 4: Simplify right side
    1,912.88x = 3,495,941.30
  5. Step 5: Solve for x
    x = 3,495,941.30/1,912.88
  6. Step 6: Final answer
    x = 1,827.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.