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Finding the Fourth Proportional to 1,847.22, 2,549.43 and 1,184.82

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Solution

The fourth proportional to 1,847.22, 2,549.43 and 1,184.82 is: 1,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.22 : 2,549.43 = 1,184.82 : x
  2. Step 2: Convert to fraction form
    1,847.22/2,549.43 = 1,184.82/x
  3. Step 3: Cross multiply
    1,847.22x = 2,549.43 × 1,184.82
  4. Step 4: Simplify right side
    1,847.22x = 3,020,615.65
  5. Step 5: Solve for x
    x = 3,020,615.65/1,847.22
  6. Step 6: Final answer
    x = 1,635.22

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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.