Home / 3,209.70-4,815.45-1,566.30

Finding the Fourth Proportional to 3,209.70, 4,815.45 and 1,566.30

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Solution

The fourth proportional to 3,209.70, 4,815.45 and 1,566.30 is: 2,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.70 : 4,815.45 = 1,566.30 : x
  2. Step 2: Convert to fraction form
    3,209.70/4,815.45 = 1,566.30/x
  3. Step 3: Cross multiply
    3,209.70x = 4,815.45 × 1,566.30
  4. Step 4: Simplify right side
    3,209.70x = 7,542,439.34
  5. Step 5: Solve for x
    x = 7,542,439.34/3,209.70
  6. Step 6: Final answer
    x = 2,349.89

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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.