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Finding the Fourth Proportional to 2,180.84, 3,009.60 and 1,186.16

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Solution

The fourth proportional to 2,180.84, 3,009.60 and 1,186.16 is: 1,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.84 : 3,009.60 = 1,186.16 : x
  2. Step 2: Convert to fraction form
    2,180.84/3,009.60 = 1,186.16/x
  3. Step 3: Cross multiply
    2,180.84x = 3,009.60 × 1,186.16
  4. Step 4: Simplify right side
    2,180.84x = 3,569,852.09
  5. Step 5: Solve for x
    x = 3,569,852.09/2,180.84
  6. Step 6: Final answer
    x = 1,636.92

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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.