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Finding the Fourth Proportional to 2,353.15, 3,247 and 1,408.73

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Solution

The fourth proportional to 2,353.15, 3,247 and 1,408.73 is: 1,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.15 : 3,247 = 1,408.73 : x
  2. Step 2: Convert to fraction form
    2,353.15/3,247 = 1,408.73/x
  3. Step 3: Cross multiply
    2,353.15x = 3,247 × 1,408.73
  4. Step 4: Simplify right side
    2,353.15x = 4,574,146.31
  5. Step 5: Solve for x
    x = 4,574,146.31/2,353.15
  6. Step 6: Final answer
    x = 1,943.84

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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.