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Finding the Fourth Proportional to 2,010.86, 3,014.90 and 1,188.71

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Solution

The fourth proportional to 2,010.86, 3,014.90 and 1,188.71 is: 1,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.86 : 3,014.90 = 1,188.71 : x
  2. Step 2: Convert to fraction form
    2,010.86/3,014.90 = 1,188.71/x
  3. Step 3: Cross multiply
    2,010.86x = 3,014.90 × 1,188.71
  4. Step 4: Simplify right side
    2,010.86x = 3,583,820.76
  5. Step 5: Solve for x
    x = 3,583,820.76/2,010.86
  6. Step 6: Final answer
    x = 1,782.24

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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.