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Finding the Fourth Proportional to 2,584.44, 3,566.48 and 1,405.44

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Solution

The fourth proportional to 2,584.44, 3,566.48 and 1,405.44 is: 1,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.44 : 3,566.48 = 1,405.44 : x
  2. Step 2: Convert to fraction form
    2,584.44/3,566.48 = 1,405.44/x
  3. Step 3: Cross multiply
    2,584.44x = 3,566.48 × 1,405.44
  4. Step 4: Simplify right side
    2,584.44x = 5,012,473.65
  5. Step 5: Solve for x
    x = 5,012,473.65/2,584.44
  6. Step 6: Final answer
    x = 1,939.48

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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.