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Finding the Fourth Proportional to 2,570.73, 3,857.42 and 1,090.97

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Solution

The fourth proportional to 2,570.73, 3,857.42 and 1,090.97 is: 1,637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.73 : 3,857.42 = 1,090.97 : x
  2. Step 2: Convert to fraction form
    2,570.73/3,857.42 = 1,090.97/x
  3. Step 3: Cross multiply
    2,570.73x = 3,857.42 × 1,090.97
  4. Step 4: Simplify right side
    2,570.73x = 4,208,304.76
  5. Step 5: Solve for x
    x = 4,208,304.76/2,570.73
  6. Step 6: Final answer
    x = 1,637.01

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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.