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Finding the Fourth Proportional to 2,914.63, 4,362.12 and 1,680.19

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Solution

The fourth proportional to 2,914.63, 4,362.12 and 1,680.19 is: 2,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.63 : 4,362.12 = 1,680.19 : x
  2. Step 2: Convert to fraction form
    2,914.63/4,362.12 = 1,680.19/x
  3. Step 3: Cross multiply
    2,914.63x = 4,362.12 × 1,680.19
  4. Step 4: Simplify right side
    2,914.63x = 7,329,179.50
  5. Step 5: Solve for x
    x = 7,329,179.50/2,914.63
  6. Step 6: Final answer
    x = 2,514.62

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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.