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Finding the Fourth Proportional to 2,453.91, 3,676.22 and 1,903.40

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Solution

The fourth proportional to 2,453.91, 3,676.22 and 1,903.40 is: 2,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.91 : 3,676.22 = 1,903.40 : x
  2. Step 2: Convert to fraction form
    2,453.91/3,676.22 = 1,903.40/x
  3. Step 3: Cross multiply
    2,453.91x = 3,676.22 × 1,903.40
  4. Step 4: Simplify right side
    2,453.91x = 6,997,289.25
  5. Step 5: Solve for x
    x = 6,997,289.25/2,453.91
  6. Step 6: Final answer
    x = 2,851.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.