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Finding the Fourth Proportional to 2,393.00, 3,301.21 and 1,596.70

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Solution

The fourth proportional to 2,393.00, 3,301.21 and 1,596.70 is: 2,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.00 : 3,301.21 = 1,596.70 : x
  2. Step 2: Convert to fraction form
    2,393.00/3,301.21 = 1,596.70/x
  3. Step 3: Cross multiply
    2,393.00x = 3,301.21 × 1,596.70
  4. Step 4: Simplify right side
    2,393.00x = 5,271,035.75
  5. Step 5: Solve for x
    x = 5,271,035.75/2,393.00
  6. Step 6: Final answer
    x = 2,202.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.