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Finding the Fourth Proportional to 1,571.08, 2,353 and 911.32

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Solution

The fourth proportional to 1,571.08, 2,353 and 911.32 is: 1,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.08 : 2,353 = 911.32 : x
  2. Step 2: Convert to fraction form
    1,571.08/2,353 = 911.32/x
  3. Step 3: Cross multiply
    1,571.08x = 2,353 × 911.32
  4. Step 4: Simplify right side
    1,571.08x = 2,144,335.96
  5. Step 5: Solve for x
    x = 2,144,335.96/1,571.08
  6. Step 6: Final answer
    x = 1,364.88

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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.