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Finding the Fourth Proportional to 2,584.75, 3,567 and 1,405.84

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Solution

The fourth proportional to 2,584.75, 3,567 and 1,405.84 is: 1,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.75 : 3,567 = 1,405.84 : x
  2. Step 2: Convert to fraction form
    2,584.75/3,567 = 1,405.84/x
  3. Step 3: Cross multiply
    2,584.75x = 3,567 × 1,405.84
  4. Step 4: Simplify right side
    2,584.75x = 5,014,631.28
  5. Step 5: Solve for x
    x = 5,014,631.28/2,584.75
  6. Step 6: Final answer
    x = 1,940.08

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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.