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Finding the Fourth Proportional to 2,980.14, 4,469.01 and 899.50

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Solution

The fourth proportional to 2,980.14, 4,469.01 and 899.50 is: 1,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.14 : 4,469.01 = 899.50 : x
  2. Step 2: Convert to fraction form
    2,980.14/4,469.01 = 899.50/x
  3. Step 3: Cross multiply
    2,980.14x = 4,469.01 × 899.50
  4. Step 4: Simplify right side
    2,980.14x = 4,019,874.50
  5. Step 5: Solve for x
    x = 4,019,874.50/2,980.14
  6. Step 6: Final answer
    x = 1,348.89

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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.