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Finding the Fourth Proportional to 2,980.62, 4,471.74 and 2,120.40

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Solution

The fourth proportional to 2,980.62, 4,471.74 and 2,120.40 is: 3,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.62 : 4,471.74 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    2,980.62/4,471.74 = 2,120.40/x
  3. Step 3: Cross multiply
    2,980.62x = 4,471.74 × 2,120.40
  4. Step 4: Simplify right side
    2,980.62x = 9,481,877.50
  5. Step 5: Solve for x
    x = 9,481,877.50/2,980.62
  6. Step 6: Final answer
    x = 3,181.18

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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.