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Finding the Fourth Proportional to 1,846.64, 2,772.38 and 1,234.28

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Solution

The fourth proportional to 1,846.64, 2,772.38 and 1,234.28 is: 1,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.64 : 2,772.38 = 1,234.28 : x
  2. Step 2: Convert to fraction form
    1,846.64/2,772.38 = 1,234.28/x
  3. Step 3: Cross multiply
    1,846.64x = 2,772.38 × 1,234.28
  4. Step 4: Simplify right side
    1,846.64x = 3,421,893.19
  5. Step 5: Solve for x
    x = 3,421,893.19/1,846.64
  6. Step 6: Final answer
    x = 1,853.04

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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.