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Finding the Fourth Proportional to 2,557.93, 3,837.12 and 1,096.74

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Solution

The fourth proportional to 2,557.93, 3,837.12 and 1,096.74 is: 1,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.93 : 3,837.12 = 1,096.74 : x
  2. Step 2: Convert to fraction form
    2,557.93/3,837.12 = 1,096.74/x
  3. Step 3: Cross multiply
    2,557.93x = 3,837.12 × 1,096.74
  4. Step 4: Simplify right side
    2,557.93x = 4,208,325.05
  5. Step 5: Solve for x
    x = 4,208,325.05/2,557.93
  6. Step 6: Final answer
    x = 1,645.21

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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.