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Finding the Fourth Proportional to 2,584.94, 3,567.14 and 1,405.98

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Solution

The fourth proportional to 2,584.94, 3,567.14 and 1,405.98 is: 1,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.94 : 3,567.14 = 1,405.98 : x
  2. Step 2: Convert to fraction form
    2,584.94/3,567.14 = 1,405.98/x
  3. Step 3: Cross multiply
    2,584.94x = 3,567.14 × 1,405.98
  4. Step 4: Simplify right side
    2,584.94x = 5,015,327.50
  5. Step 5: Solve for x
    x = 5,015,327.50/2,584.94
  6. Step 6: Final answer
    x = 1,940.21

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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.