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Finding the Fourth Proportional to 2,570.66, 3,855.95 and 622.88

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Solution

The fourth proportional to 2,570.66, 3,855.95 and 622.88 is: 934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.66 : 3,855.95 = 622.88 : x
  2. Step 2: Convert to fraction form
    2,570.66/3,855.95 = 622.88/x
  3. Step 3: Cross multiply
    2,570.66x = 3,855.95 × 622.88
  4. Step 4: Simplify right side
    2,570.66x = 2,401,794.14
  5. Step 5: Solve for x
    x = 2,401,794.14/2,570.66
  6. Step 6: Final answer
    x = 934.31

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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.