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Finding the Fourth Proportional to 2,612.86, 3,920.19 and 1,153.06

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Solution

The fourth proportional to 2,612.86, 3,920.19 and 1,153.06 is: 1,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.86 : 3,920.19 = 1,153.06 : x
  2. Step 2: Convert to fraction form
    2,612.86/3,920.19 = 1,153.06/x
  3. Step 3: Cross multiply
    2,612.86x = 3,920.19 × 1,153.06
  4. Step 4: Simplify right side
    2,612.86x = 4,520,214.28
  5. Step 5: Solve for x
    x = 4,520,214.28/2,612.86
  6. Step 6: Final answer
    x = 1,729.99

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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.