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Finding the Fourth Proportional to 3,172, 4,377.36 and 1,774.96

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Solution

The fourth proportional to 3,172, 4,377.36 and 1,774.96 is: 2,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172 : 4,377.36 = 1,774.96 : x
  2. Step 2: Convert to fraction form
    3,172/4,377.36 = 1,774.96/x
  3. Step 3: Cross multiply
    3,172x = 4,377.36 × 1,774.96
  4. Step 4: Simplify right side
    3,172x = 7,769,638.91
  5. Step 5: Solve for x
    x = 7,769,638.91/3,172
  6. Step 6: Final answer
    x = 2,449.44

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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.