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Finding the Fourth Proportional to 2,103.71, 2,903.63 and 1,219.38

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Solution

The fourth proportional to 2,103.71, 2,903.63 and 1,219.38 is: 1,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.71 : 2,903.63 = 1,219.38 : x
  2. Step 2: Convert to fraction form
    2,103.71/2,903.63 = 1,219.38/x
  3. Step 3: Cross multiply
    2,103.71x = 2,903.63 × 1,219.38
  4. Step 4: Simplify right side
    2,103.71x = 3,540,622.25
  5. Step 5: Solve for x
    x = 3,540,622.25/2,103.71
  6. Step 6: Final answer
    x = 1,683.04

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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.