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Finding the Fourth Proportional to 2,570.31, 3,855.46 and 622.51

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Solution

The fourth proportional to 2,570.31, 3,855.46 and 622.51 is: 933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.31 : 3,855.46 = 622.51 : x
  2. Step 2: Convert to fraction form
    2,570.31/3,855.46 = 622.51/x
  3. Step 3: Cross multiply
    2,570.31x = 3,855.46 × 622.51
  4. Step 4: Simplify right side
    2,570.31x = 2,400,059.29
  5. Step 5: Solve for x
    x = 2,400,059.29/2,570.31
  6. Step 6: Final answer
    x = 933.76

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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.