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Finding the Fourth Proportional to 2,700.92, 4,048.50 and 1,929.08

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Solution

The fourth proportional to 2,700.92, 4,048.50 and 1,929.08 is: 2,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.92 : 4,048.50 = 1,929.08 : x
  2. Step 2: Convert to fraction form
    2,700.92/4,048.50 = 1,929.08/x
  3. Step 3: Cross multiply
    2,700.92x = 4,048.50 × 1,929.08
  4. Step 4: Simplify right side
    2,700.92x = 7,809,880.38
  5. Step 5: Solve for x
    x = 7,809,880.38/2,700.92
  6. Step 6: Final answer
    x = 2,891.56

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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.