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Finding the Fourth Proportional to 2,103.78, 2,903.49 and 1,219.86

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Solution

The fourth proportional to 2,103.78, 2,903.49 and 1,219.86 is: 1,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.78 : 2,903.49 = 1,219.86 : x
  2. Step 2: Convert to fraction form
    2,103.78/2,903.49 = 1,219.86/x
  3. Step 3: Cross multiply
    2,103.78x = 2,903.49 × 1,219.86
  4. Step 4: Simplify right side
    2,103.78x = 3,541,851.31
  5. Step 5: Solve for x
    x = 3,541,851.31/2,103.78
  6. Step 6: Final answer
    x = 1,683.57

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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.