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Finding the Fourth Proportional to 2,807.72, 4,219.78 and 2,604.07

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Solution

The fourth proportional to 2,807.72, 4,219.78 and 2,604.07 is: 3,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.72 : 4,219.78 = 2,604.07 : x
  2. Step 2: Convert to fraction form
    2,807.72/4,219.78 = 2,604.07/x
  3. Step 3: Cross multiply
    2,807.72x = 4,219.78 × 2,604.07
  4. Step 4: Simplify right side
    2,807.72x = 10,988,602.50
  5. Step 5: Solve for x
    x = 10,988,602.50/2,807.72
  6. Step 6: Final answer
    x = 3,913.71

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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.