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Finding the Fourth Proportional to 1,615.36, 2,423.02 and 1,067.40

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Solution

The fourth proportional to 1,615.36, 2,423.02 and 1,067.40 is: 1,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.36 : 2,423.02 = 1,067.40 : x
  2. Step 2: Convert to fraction form
    1,615.36/2,423.02 = 1,067.40/x
  3. Step 3: Cross multiply
    1,615.36x = 2,423.02 × 1,067.40
  4. Step 4: Simplify right side
    1,615.36x = 2,586,331.55
  5. Step 5: Solve for x
    x = 2,586,331.55/1,615.36
  6. Step 6: Final answer
    x = 1,601.09

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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.