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Finding the Fourth Proportional to 2,557.36, 3,832.80 and 1,094.91

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Solution

The fourth proportional to 2,557.36, 3,832.80 and 1,094.91 is: 1,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.36 : 3,832.80 = 1,094.91 : x
  2. Step 2: Convert to fraction form
    2,557.36/3,832.80 = 1,094.91/x
  3. Step 3: Cross multiply
    2,557.36x = 3,832.80 × 1,094.91
  4. Step 4: Simplify right side
    2,557.36x = 4,196,571.05
  5. Step 5: Solve for x
    x = 4,196,571.05/2,557.36
  6. Step 6: Final answer
    x = 1,640.98

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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.