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Finding the Fourth Proportional to 2,570.61, 3,855.93 and 622.82

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Solution

The fourth proportional to 2,570.61, 3,855.93 and 622.82 is: 934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.61 : 3,855.93 = 622.82 : x
  2. Step 2: Convert to fraction form
    2,570.61/3,855.93 = 622.82/x
  3. Step 3: Cross multiply
    2,570.61x = 3,855.93 × 622.82
  4. Step 4: Simplify right side
    2,570.61x = 2,401,550.32
  5. Step 5: Solve for x
    x = 2,401,550.32/2,570.61
  6. Step 6: Final answer
    x = 934.23

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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.