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Finding the Fourth Proportional to 1,584.88, 2,186.73 and 1,191.22

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Solution

The fourth proportional to 1,584.88, 2,186.73 and 1,191.22 is: 1,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.88 : 2,186.73 = 1,191.22 : x
  2. Step 2: Convert to fraction form
    1,584.88/2,186.73 = 1,191.22/x
  3. Step 3: Cross multiply
    1,584.88x = 2,186.73 × 1,191.22
  4. Step 4: Simplify right side
    1,584.88x = 2,604,871.04
  5. Step 5: Solve for x
    x = 2,604,871.04/1,584.88
  6. Step 6: Final answer
    x = 1,643.58

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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.