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Finding the Fourth Proportional to 2,930.40, 4,399.20 and 1,615.20

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Solution

The fourth proportional to 2,930.40, 4,399.20 and 1,615.20 is: 2,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.40 : 4,399.20 = 1,615.20 : x
  2. Step 2: Convert to fraction form
    2,930.40/4,399.20 = 1,615.20/x
  3. Step 3: Cross multiply
    2,930.40x = 4,399.20 × 1,615.20
  4. Step 4: Simplify right side
    2,930.40x = 7,105,587.84
  5. Step 5: Solve for x
    x = 7,105,587.84/2,930.40
  6. Step 6: Final answer
    x = 2,424.78

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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.