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Finding the Fourth Proportional to 2,584.90, 3,567.12 and 1,405.99

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Solution

The fourth proportional to 2,584.90, 3,567.12 and 1,405.99 is: 1,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.90 : 3,567.12 = 1,405.99 : x
  2. Step 2: Convert to fraction form
    2,584.90/3,567.12 = 1,405.99/x
  3. Step 3: Cross multiply
    2,584.90x = 3,567.12 × 1,405.99
  4. Step 4: Simplify right side
    2,584.90x = 5,015,335.05
  5. Step 5: Solve for x
    x = 5,015,335.05/2,584.90
  6. Step 6: Final answer
    x = 1,940.24

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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.