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Finding the Fourth Proportional to 2,633.34, 3,948.74 and 1,401.34

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Solution

The fourth proportional to 2,633.34, 3,948.74 and 1,401.34 is: 2,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.34 : 3,948.74 = 1,401.34 : x
  2. Step 2: Convert to fraction form
    2,633.34/3,948.74 = 1,401.34/x
  3. Step 3: Cross multiply
    2,633.34x = 3,948.74 × 1,401.34
  4. Step 4: Simplify right side
    2,633.34x = 5,533,527.31
  5. Step 5: Solve for x
    x = 5,533,527.31/2,633.34
  6. Step 6: Final answer
    x = 2,101.33

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