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Finding the Fourth Proportional to 1,261.09, 1,890.22 and 951.94

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Solution

The fourth proportional to 1,261.09, 1,890.22 and 951.94 is: 1,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.09 : 1,890.22 = 951.94 : x
  2. Step 2: Convert to fraction form
    1,261.09/1,890.22 = 951.94/x
  3. Step 3: Cross multiply
    1,261.09x = 1,890.22 × 951.94
  4. Step 4: Simplify right side
    1,261.09x = 1,799,366.58
  5. Step 5: Solve for x
    x = 1,799,366.58/1,261.09
  6. Step 6: Final answer
    x = 1,426.84

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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.