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Finding the Fourth Proportional to 2,055.45, 2,837.25 and 1,216.45

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Solution

The fourth proportional to 2,055.45, 2,837.25 and 1,216.45 is: 1,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.45 : 2,837.25 = 1,216.45 : x
  2. Step 2: Convert to fraction form
    2,055.45/2,837.25 = 1,216.45/x
  3. Step 3: Cross multiply
    2,055.45x = 2,837.25 × 1,216.45
  4. Step 4: Simplify right side
    2,055.45x = 3,451,372.76
  5. Step 5: Solve for x
    x = 3,451,372.76/2,055.45
  6. Step 6: Final answer
    x = 1,679.13

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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.