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Finding the Fourth Proportional to 3,142.56, 4,705.23 and 2,408.70

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Solution

The fourth proportional to 3,142.56, 4,705.23 and 2,408.70 is: 3,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.56 : 4,705.23 = 2,408.70 : x
  2. Step 2: Convert to fraction form
    3,142.56/4,705.23 = 2,408.70/x
  3. Step 3: Cross multiply
    3,142.56x = 4,705.23 × 2,408.70
  4. Step 4: Simplify right side
    3,142.56x = 11,333,487.50
  5. Step 5: Solve for x
    x = 11,333,487.50/3,142.56
  6. Step 6: Final answer
    x = 3,606.45

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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.