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Finding the Fourth Proportional to 3,246.80, 4,870.20 and 1,604.48

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Solution

The fourth proportional to 3,246.80, 4,870.20 and 1,604.48 is: 2,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.80 : 4,870.20 = 1,604.48 : x
  2. Step 2: Convert to fraction form
    3,246.80/4,870.20 = 1,604.48/x
  3. Step 3: Cross multiply
    3,246.80x = 4,870.20 × 1,604.48
  4. Step 4: Simplify right side
    3,246.80x = 7,814,138.50
  5. Step 5: Solve for x
    x = 7,814,138.50/3,246.80
  6. Step 6: Final answer
    x = 2,406.72

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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.