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Finding the Fourth Proportional to 1,847.90, 2,549.40 and 1,185.14

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Solution

The fourth proportional to 1,847.90, 2,549.40 and 1,185.14 is: 1,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.90 : 2,549.40 = 1,185.14 : x
  2. Step 2: Convert to fraction form
    1,847.90/2,549.40 = 1,185.14/x
  3. Step 3: Cross multiply
    1,847.90x = 2,549.40 × 1,185.14
  4. Step 4: Simplify right side
    1,847.90x = 3,021,395.92
  5. Step 5: Solve for x
    x = 3,021,395.92/1,847.90
  6. Step 6: Final answer
    x = 1,635.04

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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.