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Finding the Fourth Proportional to 1,715.36, 2,567.04 and 1,229.44

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Solution

The fourth proportional to 1,715.36, 2,567.04 and 1,229.44 is: 1,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.36 : 2,567.04 = 1,229.44 : x
  2. Step 2: Convert to fraction form
    1,715.36/2,567.04 = 1,229.44/x
  3. Step 3: Cross multiply
    1,715.36x = 2,567.04 × 1,229.44
  4. Step 4: Simplify right side
    1,715.36x = 3,156,021.66
  5. Step 5: Solve for x
    x = 3,156,021.66/1,715.36
  6. Step 6: Final answer
    x = 1,839.86

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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.