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Finding the Fourth Proportional to 2,102.52, 2,901.44 and 1,171

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Solution

The fourth proportional to 2,102.52, 2,901.44 and 1,171 is: 1,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.52 : 2,901.44 = 1,171 : x
  2. Step 2: Convert to fraction form
    2,102.52/2,901.44 = 1,171/x
  3. Step 3: Cross multiply
    2,102.52x = 2,901.44 × 1,171
  4. Step 4: Simplify right side
    2,102.52x = 3,397,586.24
  5. Step 5: Solve for x
    x = 3,397,586.24/2,102.52
  6. Step 6: Final answer
    x = 1,615.96

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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.