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Finding the Fourth Proportional to 2,395.37, 3,590.29 and 933.28

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Solution

The fourth proportional to 2,395.37, 3,590.29 and 933.28 is: 1,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.37 : 3,590.29 = 933.28 : x
  2. Step 2: Convert to fraction form
    2,395.37/3,590.29 = 933.28/x
  3. Step 3: Cross multiply
    2,395.37x = 3,590.29 × 933.28
  4. Step 4: Simplify right side
    2,395.37x = 3,350,745.85
  5. Step 5: Solve for x
    x = 3,350,745.85/2,395.37
  6. Step 6: Final answer
    x = 1,398.84

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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.