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Finding the Fourth Proportional to 1,571.12, 2,168.16 and 950

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Solution

The fourth proportional to 1,571.12, 2,168.16 and 950 is: 1,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.12 : 2,168.16 = 950 : x
  2. Step 2: Convert to fraction form
    1,571.12/2,168.16 = 950/x
  3. Step 3: Cross multiply
    1,571.12x = 2,168.16 × 950
  4. Step 4: Simplify right side
    1,571.12x = 2,059,752.00
  5. Step 5: Solve for x
    x = 2,059,752.00/1,571.12
  6. Step 6: Final answer
    x = 1,311.01

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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.