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Finding the Fourth Proportional to 1,578.54, 2,369.28 and 1,234.02

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Solution

The fourth proportional to 1,578.54, 2,369.28 and 1,234.02 is: 1,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.54 : 2,369.28 = 1,234.02 : x
  2. Step 2: Convert to fraction form
    1,578.54/2,369.28 = 1,234.02/x
  3. Step 3: Cross multiply
    1,578.54x = 2,369.28 × 1,234.02
  4. Step 4: Simplify right side
    1,578.54x = 2,923,738.91
  5. Step 5: Solve for x
    x = 2,923,738.91/1,578.54
  6. Step 6: Final answer
    x = 1,852.18

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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.