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Finding the Fourth Proportional to 2,181.84, 3,009.36 and 1,970.64

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Solution

The fourth proportional to 2,181.84, 3,009.36 and 1,970.64 is: 2,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.84 : 3,009.36 = 1,970.64 : x
  2. Step 2: Convert to fraction form
    2,181.84/3,009.36 = 1,970.64/x
  3. Step 3: Cross multiply
    2,181.84x = 3,009.36 × 1,970.64
  4. Step 4: Simplify right side
    2,181.84x = 5,930,365.19
  5. Step 5: Solve for x
    x = 5,930,365.19/2,181.84
  6. Step 6: Final answer
    x = 2,718.06

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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.