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Finding the Fourth Proportional to 2,180.97, 3,009.81 and 1,186.32

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Solution

The fourth proportional to 2,180.97, 3,009.81 and 1,186.32 is: 1,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.97 : 3,009.81 = 1,186.32 : x
  2. Step 2: Convert to fraction form
    2,180.97/3,009.81 = 1,186.32/x
  3. Step 3: Cross multiply
    2,180.97x = 3,009.81 × 1,186.32
  4. Step 4: Simplify right side
    2,180.97x = 3,570,597.80
  5. Step 5: Solve for x
    x = 3,570,597.80/2,180.97
  6. Step 6: Final answer
    x = 1,637.16

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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.