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Finding the Fourth Proportional to 2,010.20, 3,015.63 and 623.66

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Solution

The fourth proportional to 2,010.20, 3,015.63 and 623.66 is: 935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.20 : 3,015.63 = 623.66 : x
  2. Step 2: Convert to fraction form
    2,010.20/3,015.63 = 623.66/x
  3. Step 3: Cross multiply
    2,010.20x = 3,015.63 × 623.66
  4. Step 4: Simplify right side
    2,010.20x = 1,880,727.81
  5. Step 5: Solve for x
    x = 1,880,727.81/2,010.20
  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.