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Finding the Fourth Proportional to 2,010.09, 3,014.05 and 622.83

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Solution

The fourth proportional to 2,010.09, 3,014.05 and 622.83 is: 933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.09 : 3,014.05 = 622.83 : x
  2. Step 2: Convert to fraction form
    2,010.09/3,014.05 = 622.83/x
  3. Step 3: Cross multiply
    2,010.09x = 3,014.05 × 622.83
  4. Step 4: Simplify right side
    2,010.09x = 1,877,237.65
  5. Step 5: Solve for x
    x = 1,877,237.65/2,010.09
  6. Step 6: Final answer
    x = 933.91

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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.