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Finding the Fourth Proportional to 2,010.29, 3,014.15 and 1,188.81

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Solution

The fourth proportional to 2,010.29, 3,014.15 and 1,188.81 is: 1,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.29 : 3,014.15 = 1,188.81 : x
  2. Step 2: Convert to fraction form
    2,010.29/3,014.15 = 1,188.81/x
  3. Step 3: Cross multiply
    2,010.29x = 3,014.15 × 1,188.81
  4. Step 4: Simplify right side
    2,010.29x = 3,583,245.72
  5. Step 5: Solve for x
    x = 3,583,245.72/2,010.29
  6. Step 6: Final answer
    x = 1,782.46

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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.