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Finding the Fourth Proportional to 1,981.86, 2,734.29 and 1,153.86

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Solution

The fourth proportional to 1,981.86, 2,734.29 and 1,153.86 is: 1,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.86 : 2,734.29 = 1,153.86 : x
  2. Step 2: Convert to fraction form
    1,981.86/2,734.29 = 1,153.86/x
  3. Step 3: Cross multiply
    1,981.86x = 2,734.29 × 1,153.86
  4. Step 4: Simplify right side
    1,981.86x = 3,154,987.86
  5. Step 5: Solve for x
    x = 3,154,987.86/1,981.86
  6. Step 6: Final answer
    x = 1,591.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.