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Finding the Fourth Proportional to 1,584.87, 2,188.59 and 1,191.21

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Solution

The fourth proportional to 1,584.87, 2,188.59 and 1,191.21 is: 1,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.87 : 2,188.59 = 1,191.21 : x
  2. Step 2: Convert to fraction form
    1,584.87/2,188.59 = 1,191.21/x
  3. Step 3: Cross multiply
    1,584.87x = 2,188.59 × 1,191.21
  4. Step 4: Simplify right side
    1,584.87x = 2,607,070.29
  5. Step 5: Solve for x
    x = 2,607,070.29/1,584.87
  6. Step 6: Final answer
    x = 1,644.97

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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.