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Finding the Fourth Proportional to 3,105.21, 4,657.85 and 913.44

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Solution

The fourth proportional to 3,105.21, 4,657.85 and 913.44 is: 1,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.21 : 4,657.85 = 913.44 : x
  2. Step 2: Convert to fraction form
    3,105.21/4,657.85 = 913.44/x
  3. Step 3: Cross multiply
    3,105.21x = 4,657.85 × 913.44
  4. Step 4: Simplify right side
    3,105.21x = 4,254,645.50
  5. Step 5: Solve for x
    x = 4,254,645.50/3,105.21
  6. Step 6: Final answer
    x = 1,370.17

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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.