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Finding the Fourth Proportional to 2,570.35, 3,855.66 and 1,474.42

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Solution

The fourth proportional to 2,570.35, 3,855.66 and 1,474.42 is: 2,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.35 : 3,855.66 = 1,474.42 : x
  2. Step 2: Convert to fraction form
    2,570.35/3,855.66 = 1,474.42/x
  3. Step 3: Cross multiply
    2,570.35x = 3,855.66 × 1,474.42
  4. Step 4: Simplify right side
    2,570.35x = 5,684,862.22
  5. Step 5: Solve for x
    x = 5,684,862.22/2,570.35
  6. Step 6: Final answer
    x = 2,211.71

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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.