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Finding the Fourth Proportional to 3,409.28, 4,703.46 and 2,290.94

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Solution

The fourth proportional to 3,409.28, 4,703.46 and 2,290.94 is: 3,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.28 : 4,703.46 = 2,290.94 : x
  2. Step 2: Convert to fraction form
    3,409.28/4,703.46 = 2,290.94/x
  3. Step 3: Cross multiply
    3,409.28x = 4,703.46 × 2,290.94
  4. Step 4: Simplify right side
    3,409.28x = 10,775,344.65
  5. Step 5: Solve for x
    x = 10,775,344.65/3,409.28
  6. Step 6: Final answer
    x = 3,160.59

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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.