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Finding the Fourth Proportional to 2,804.72, 3,875.46 and 2,219.90

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Solution

The fourth proportional to 2,804.72, 3,875.46 and 2,219.90 is: 3,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.72 : 3,875.46 = 2,219.90 : x
  2. Step 2: Convert to fraction form
    2,804.72/3,875.46 = 2,219.90/x
  3. Step 3: Cross multiply
    2,804.72x = 3,875.46 × 2,219.90
  4. Step 4: Simplify right side
    2,804.72x = 8,603,133.65
  5. Step 5: Solve for x
    x = 8,603,133.65/2,804.72
  6. Step 6: Final answer
    x = 3,067.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.