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Finding the Fourth Proportional to 2,408, 3,610.34 and 947.32

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Solution

The fourth proportional to 2,408, 3,610.34 and 947.32 is: 1,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408 : 3,610.34 = 947.32 : x
  2. Step 2: Convert to fraction form
    2,408/3,610.34 = 947.32/x
  3. Step 3: Cross multiply
    2,408x = 3,610.34 × 947.32
  4. Step 4: Simplify right side
    2,408x = 3,420,147.29
  5. Step 5: Solve for x
    x = 3,420,147.29/2,408
  6. Step 6: Final answer
    x = 1,420.33

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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.