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Finding the Fourth Proportional to 2,980.85, 4,469.53 and 900.23

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Solution

The fourth proportional to 2,980.85, 4,469.53 and 900.23 is: 1,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.85 : 4,469.53 = 900.23 : x
  2. Step 2: Convert to fraction form
    2,980.85/4,469.53 = 900.23/x
  3. Step 3: Cross multiply
    2,980.85x = 4,469.53 × 900.23
  4. Step 4: Simplify right side
    2,980.85x = 4,023,600.49
  5. Step 5: Solve for x
    x = 4,023,600.49/2,980.85
  6. Step 6: Final answer
    x = 1,349.82

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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.