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Finding the Fourth Proportional to 3,104, 4,656.12 and 1,156.16

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Solution

The fourth proportional to 3,104, 4,656.12 and 1,156.16 is: 1,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104 : 4,656.12 = 1,156.16 : x
  2. Step 2: Convert to fraction form
    3,104/4,656.12 = 1,156.16/x
  3. Step 3: Cross multiply
    3,104x = 4,656.12 × 1,156.16
  4. Step 4: Simplify right side
    3,104x = 5,383,219.70
  5. Step 5: Solve for x
    x = 5,383,219.70/3,104
  6. Step 6: Final answer
    x = 1,734.28

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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.