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Finding the Fourth Proportional to 1,395.74, 2,093.96 and 985.68

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Solution

The fourth proportional to 1,395.74, 2,093.96 and 985.68 is: 1,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.74 : 2,093.96 = 985.68 : x
  2. Step 2: Convert to fraction form
    1,395.74/2,093.96 = 985.68/x
  3. Step 3: Cross multiply
    1,395.74x = 2,093.96 × 985.68
  4. Step 4: Simplify right side
    1,395.74x = 2,063,959.09
  5. Step 5: Solve for x
    x = 2,063,959.09/1,395.74
  6. Step 6: Final answer
    x = 1,478.76

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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.