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Finding the Fourth Proportional to 3,104.49, 4,657.05 and 1,024.50

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Solution

The fourth proportional to 3,104.49, 4,657.05 and 1,024.50 is: 1,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.49 : 4,657.05 = 1,024.50 : x
  2. Step 2: Convert to fraction form
    3,104.49/4,657.05 = 1,024.50/x
  3. Step 3: Cross multiply
    3,104.49x = 4,657.05 × 1,024.50
  4. Step 4: Simplify right side
    3,104.49x = 4,771,147.73
  5. Step 5: Solve for x
    x = 4,771,147.73/3,104.49
  6. Step 6: Final answer
    x = 1,536.85

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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.