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Finding the Fourth Proportional to 2,055.74, 2,837.04 and 1,216.94

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Solution

The fourth proportional to 2,055.74, 2,837.04 and 1,216.94 is: 1,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.74 : 2,837.04 = 1,216.94 : x
  2. Step 2: Convert to fraction form
    2,055.74/2,837.04 = 1,216.94/x
  3. Step 3: Cross multiply
    2,055.74x = 2,837.04 × 1,216.94
  4. Step 4: Simplify right side
    2,055.74x = 3,452,507.46
  5. Step 5: Solve for x
    x = 3,452,507.46/2,055.74
  6. Step 6: Final answer
    x = 1,679.45

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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.