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Finding the Fourth Proportional to 2,558.06, 3,837.70 and 914.48

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Solution

The fourth proportional to 2,558.06, 3,837.70 and 914.48 is: 1,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.06 : 3,837.70 = 914.48 : x
  2. Step 2: Convert to fraction form
    2,558.06/3,837.70 = 914.48/x
  3. Step 3: Cross multiply
    2,558.06x = 3,837.70 × 914.48
  4. Step 4: Simplify right side
    2,558.06x = 3,509,499.90
  5. Step 5: Solve for x
    x = 3,509,499.90/2,558.06
  6. Step 6: Final answer
    x = 1,371.94

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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.