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Finding the Fourth Proportional to 2,933.40, 4,047 and 1,674.24

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Solution

The fourth proportional to 2,933.40, 4,047 and 1,674.24 is: 2,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.40 : 4,047 = 1,674.24 : x
  2. Step 2: Convert to fraction form
    2,933.40/4,047 = 1,674.24/x
  3. Step 3: Cross multiply
    2,933.40x = 4,047 × 1,674.24
  4. Step 4: Simplify right side
    2,933.40x = 6,775,649.28
  5. Step 5: Solve for x
    x = 6,775,649.28/2,933.40
  6. Step 6: Final answer
    x = 2,309.83

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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.