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Finding the Fourth Proportional to 2,557.82, 3,837.44 and 914.53

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Solution

The fourth proportional to 2,557.82, 3,837.44 and 914.53 is: 1,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.82 : 3,837.44 = 914.53 : x
  2. Step 2: Convert to fraction form
    2,557.82/3,837.44 = 914.53/x
  3. Step 3: Cross multiply
    2,557.82x = 3,837.44 × 914.53
  4. Step 4: Simplify right side
    2,557.82x = 3,509,454.00
  5. Step 5: Solve for x
    x = 3,509,454.00/2,557.82
  6. Step 6: Final answer
    x = 1,372.05

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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.