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Finding the Fourth Proportional to 2,104.07, 2,903.44 and 1,219.93

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Solution

The fourth proportional to 2,104.07, 2,903.44 and 1,219.93 is: 1,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.07 : 2,903.44 = 1,219.93 : x
  2. Step 2: Convert to fraction form
    2,104.07/2,903.44 = 1,219.93/x
  3. Step 3: Cross multiply
    2,104.07x = 2,903.44 × 1,219.93
  4. Step 4: Simplify right side
    2,104.07x = 3,541,993.56
  5. Step 5: Solve for x
    x = 3,541,993.56/2,104.07
  6. Step 6: Final answer
    x = 1,683.40

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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.