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Finding the Fourth Proportional to 2,574.98, 3,553.48 and 1,396.06

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Solution

The fourth proportional to 2,574.98, 3,553.48 and 1,396.06 is: 1,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.98 : 3,553.48 = 1,396.06 : x
  2. Step 2: Convert to fraction form
    2,574.98/3,553.48 = 1,396.06/x
  3. Step 3: Cross multiply
    2,574.98x = 3,553.48 × 1,396.06
  4. Step 4: Simplify right side
    2,574.98x = 4,960,858.91
  5. Step 5: Solve for x
    x = 4,960,858.91/2,574.98
  6. Step 6: Final answer
    x = 1,926.56

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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.