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Finding the Fourth Proportional to 2,735.96, 3,775.94 and 1,557.20

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Solution

The fourth proportional to 2,735.96, 3,775.94 and 1,557.20 is: 2,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.96 : 3,775.94 = 1,557.20 : x
  2. Step 2: Convert to fraction form
    2,735.96/3,775.94 = 1,557.20/x
  3. Step 3: Cross multiply
    2,735.96x = 3,775.94 × 1,557.20
  4. Step 4: Simplify right side
    2,735.96x = 5,879,893.77
  5. Step 5: Solve for x
    x = 5,879,893.77/2,735.96
  6. Step 6: Final answer
    x = 2,149.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.