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Finding the Fourth Proportional to 3,449.85, 5,174.95 and 985.03

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Solution

The fourth proportional to 3,449.85, 5,174.95 and 985.03 is: 1,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.85 : 5,174.95 = 985.03 : x
  2. Step 2: Convert to fraction form
    3,449.85/5,174.95 = 985.03/x
  3. Step 3: Cross multiply
    3,449.85x = 5,174.95 × 985.03
  4. Step 4: Simplify right side
    3,449.85x = 5,097,481.00
  5. Step 5: Solve for x
    x = 5,097,481.00/3,449.85
  6. Step 6: Final answer
    x = 1,477.59

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1.5x scale

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.