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Finding the Fourth Proportional to 2,055.57, 2,837.97 and 1,425.87

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Solution

The fourth proportional to 2,055.57, 2,837.97 and 1,425.87 is: 1,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.57 : 2,837.97 = 1,425.87 : x
  2. Step 2: Convert to fraction form
    2,055.57/2,837.97 = 1,425.87/x
  3. Step 3: Cross multiply
    2,055.57x = 2,837.97 × 1,425.87
  4. Step 4: Simplify right side
    2,055.57x = 4,046,576.28
  5. Step 5: Solve for x
    x = 4,046,576.28/2,055.57
  6. Step 6: Final answer
    x = 1,968.59

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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.