Home / 3,071.30-4,606.40-819.86

Finding the Fourth Proportional to 3,071.30, 4,606.40 and 819.86

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Solution

The fourth proportional to 3,071.30, 4,606.40 and 819.86 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.30 : 4,606.40 = 819.86 : x
  2. Step 2: Convert to fraction form
    3,071.30/4,606.40 = 819.86/x
  3. Step 3: Cross multiply
    3,071.30x = 4,606.40 × 819.86
  4. Step 4: Simplify right side
    3,071.30x = 3,776,582.12
  5. Step 5: Solve for x
    x = 3,776,582.12/3,071.30
  6. Step 6: Final answer
    x = 1,229.64

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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.