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Finding the Fourth Proportional to 2,080.51, 3,105.53 and 1,834.50

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Solution

The fourth proportional to 2,080.51, 3,105.53 and 1,834.50 is: 2,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.51 : 3,105.53 = 1,834.50 : x
  2. Step 2: Convert to fraction form
    2,080.51/3,105.53 = 1,834.50/x
  3. Step 3: Cross multiply
    2,080.51x = 3,105.53 × 1,834.50
  4. Step 4: Simplify right side
    2,080.51x = 5,697,094.79
  5. Step 5: Solve for x
    x = 5,697,094.79/2,080.51
  6. Step 6: Final answer
    x = 2,738.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.