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Finding the Fourth Proportional to 2,933.34, 4,391.10 and 1,697.28

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Solution

The fourth proportional to 2,933.34, 4,391.10 and 1,697.28 is: 2,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.34 : 4,391.10 = 1,697.28 : x
  2. Step 2: Convert to fraction form
    2,933.34/4,391.10 = 1,697.28/x
  3. Step 3: Cross multiply
    2,933.34x = 4,391.10 × 1,697.28
  4. Step 4: Simplify right side
    2,933.34x = 7,452,926.21
  5. Step 5: Solve for x
    x = 7,452,926.21/2,933.34
  6. Step 6: Final answer
    x = 2,540.76

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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.