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Finding the Fourth Proportional to 2,969.52, 4,452.39 and 1,408.56

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Solution

The fourth proportional to 2,969.52, 4,452.39 and 1,408.56 is: 2,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.52 : 4,452.39 = 1,408.56 : x
  2. Step 2: Convert to fraction form
    2,969.52/4,452.39 = 1,408.56/x
  3. Step 3: Cross multiply
    2,969.52x = 4,452.39 × 1,408.56
  4. Step 4: Simplify right side
    2,969.52x = 6,271,458.46
  5. Step 5: Solve for x
    x = 6,271,458.46/2,969.52
  6. Step 6: Final answer
    x = 2,111.94

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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.