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Finding the Fourth Proportional to 2,393.21, 3,590.73 and 933.38

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Solution

The fourth proportional to 2,393.21, 3,590.73 and 933.38 is: 1,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.21 : 3,590.73 = 933.38 : x
  2. Step 2: Convert to fraction form
    2,393.21/3,590.73 = 933.38/x
  3. Step 3: Cross multiply
    2,393.21x = 3,590.73 × 933.38
  4. Step 4: Simplify right side
    2,393.21x = 3,351,515.57
  5. Step 5: Solve for x
    x = 3,351,515.57/2,393.21
  6. Step 6: Final answer
    x = 1,400.43

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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.