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Finding the Fourth Proportional to 3,246.24, 4,479.60 and 2,004

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Solution

The fourth proportional to 3,246.24, 4,479.60 and 2,004 is: 2,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.24 : 4,479.60 = 2,004 : x
  2. Step 2: Convert to fraction form
    3,246.24/4,479.60 = 2,004/x
  3. Step 3: Cross multiply
    3,246.24x = 4,479.60 × 2,004
  4. Step 4: Simplify right side
    3,246.24x = 8,977,118.40
  5. Step 5: Solve for x
    x = 8,977,118.40/3,246.24
  6. Step 6: Final answer
    x = 2,765.39

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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.