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Finding the Fourth Proportional to 1,968.57, 2,951.49 and 872.34

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Solution

The fourth proportional to 1,968.57, 2,951.49 and 872.34 is: 1,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.57 : 2,951.49 = 872.34 : x
  2. Step 2: Convert to fraction form
    1,968.57/2,951.49 = 872.34/x
  3. Step 3: Cross multiply
    1,968.57x = 2,951.49 × 872.34
  4. Step 4: Simplify right side
    1,968.57x = 2,574,702.79
  5. Step 5: Solve for x
    x = 2,574,702.79/1,968.57
  6. Step 6: Final answer
    x = 1,307.91

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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.