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Finding the Fourth Proportional to 2,584.90, 3,567.11 and 1,406

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Solution

The fourth proportional to 2,584.90, 3,567.11 and 1,406 is: 1,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.90 : 3,567.11 = 1,406 : x
  2. Step 2: Convert to fraction form
    2,584.90/3,567.11 = 1,406/x
  3. Step 3: Cross multiply
    2,584.90x = 3,567.11 × 1,406
  4. Step 4: Simplify right side
    2,584.90x = 5,015,356.66
  5. Step 5: Solve for x
    x = 5,015,356.66/2,584.90
  6. Step 6: Final answer
    x = 1,940.25

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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.