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Finding the Fourth Proportional to 1,512.21, 2,086.95 and 922.85

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Solution

The fourth proportional to 1,512.21, 2,086.95 and 922.85 is: 1,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.21 : 2,086.95 = 922.85 : x
  2. Step 2: Convert to fraction form
    1,512.21/2,086.95 = 922.85/x
  3. Step 3: Cross multiply
    1,512.21x = 2,086.95 × 922.85
  4. Step 4: Simplify right side
    1,512.21x = 1,925,931.37
  5. Step 5: Solve for x
    x = 1,925,931.37/1,512.21
  6. Step 6: Final answer
    x = 1,273.59

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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.