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Finding the Fourth Proportional to 1,810.17, 2,716.11 and 836.46

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Solution

The fourth proportional to 1,810.17, 2,716.11 and 836.46 is: 1,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.17 : 2,716.11 = 836.46 : x
  2. Step 2: Convert to fraction form
    1,810.17/2,716.11 = 836.46/x
  3. Step 3: Cross multiply
    1,810.17x = 2,716.11 × 836.46
  4. Step 4: Simplify right side
    1,810.17x = 2,271,917.37
  5. Step 5: Solve for x
    x = 2,271,917.37/1,810.17
  6. Step 6: Final answer
    x = 1,255.09

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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.