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Finding the Fourth Proportional to 1,944.68, 2,683.68 and 1,148.02

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Solution

The fourth proportional to 1,944.68, 2,683.68 and 1,148.02 is: 1,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.68 : 2,683.68 = 1,148.02 : x
  2. Step 2: Convert to fraction form
    1,944.68/2,683.68 = 1,148.02/x
  3. Step 3: Cross multiply
    1,944.68x = 2,683.68 × 1,148.02
  4. Step 4: Simplify right side
    1,944.68x = 3,080,912.57
  5. Step 5: Solve for x
    x = 3,080,912.57/1,944.68
  6. Step 6: Final answer
    x = 1,584.28

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Why These Related Problems?

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