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Finding the Fourth Proportional to 3,137.04, 4,705.97 and 945.99

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Solution

The fourth proportional to 3,137.04, 4,705.97 and 945.99 is: 1,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.04 : 4,705.97 = 945.99 : x
  2. Step 2: Convert to fraction form
    3,137.04/4,705.97 = 945.99/x
  3. Step 3: Cross multiply
    3,137.04x = 4,705.97 × 945.99
  4. Step 4: Simplify right side
    3,137.04x = 4,451,800.56
  5. Step 5: Solve for x
    x = 4,451,800.56/3,137.04
  6. Step 6: Final answer
    x = 1,419.11

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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.