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Finding the Fourth Proportional to 1,310.71, 1,811.37 and 1,074.28

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Solution

The fourth proportional to 1,310.71, 1,811.37 and 1,074.28 is: 1,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.71 : 1,811.37 = 1,074.28 : x
  2. Step 2: Convert to fraction form
    1,310.71/1,811.37 = 1,074.28/x
  3. Step 3: Cross multiply
    1,310.71x = 1,811.37 × 1,074.28
  4. Step 4: Simplify right side
    1,310.71x = 1,945,918.56
  5. Step 5: Solve for x
    x = 1,945,918.56/1,310.71
  6. Step 6: Final answer
    x = 1,484.63

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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.