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Finding the Fourth Proportional to 2,010.23, 3,015.77 and 623.64

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Solution

The fourth proportional to 2,010.23, 3,015.77 and 623.64 is: 935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.23 : 3,015.77 = 623.64 : x
  2. Step 2: Convert to fraction form
    2,010.23/3,015.77 = 623.64/x
  3. Step 3: Cross multiply
    2,010.23x = 3,015.77 × 623.64
  4. Step 4: Simplify right side
    2,010.23x = 1,880,754.80
  5. Step 5: Solve for x
    x = 1,880,754.80/2,010.23
  6. Step 6: Final answer
    x = 935.59

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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.