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Finding the Fourth Proportional to 2,570.72, 3,855.17 and 926.83

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Solution

The fourth proportional to 2,570.72, 3,855.17 and 926.83 is: 1,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.72 : 3,855.17 = 926.83 : x
  2. Step 2: Convert to fraction form
    2,570.72/3,855.17 = 926.83/x
  3. Step 3: Cross multiply
    2,570.72x = 3,855.17 × 926.83
  4. Step 4: Simplify right side
    2,570.72x = 3,573,087.21
  5. Step 5: Solve for x
    x = 3,573,087.21/2,570.72
  6. Step 6: Final answer
    x = 1,389.92

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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.