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Finding the Fourth Proportional to 1,966.70, 2,951.23 and 734.98

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Solution

The fourth proportional to 1,966.70, 2,951.23 and 734.98 is: 1,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.70 : 2,951.23 = 734.98 : x
  2. Step 2: Convert to fraction form
    1,966.70/2,951.23 = 734.98/x
  3. Step 3: Cross multiply
    1,966.70x = 2,951.23 × 734.98
  4. Step 4: Simplify right side
    1,966.70x = 2,169,095.03
  5. Step 5: Solve for x
    x = 2,169,095.03/1,966.70
  6. Step 6: Final answer
    x = 1,102.91

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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.