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Finding the Fourth Proportional to 2,819.26, 4,229 and 970.36

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Solution

The fourth proportional to 2,819.26, 4,229 and 970.36 is: 1,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.26 : 4,229 = 970.36 : x
  2. Step 2: Convert to fraction form
    2,819.26/4,229 = 970.36/x
  3. Step 3: Cross multiply
    2,819.26x = 4,229 × 970.36
  4. Step 4: Simplify right side
    2,819.26x = 4,103,652.44
  5. Step 5: Solve for x
    x = 4,103,652.44/2,819.26
  6. Step 6: Final answer
    x = 1,455.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.