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Finding the Fourth Proportional to 1,921.64, 2,878.68 and 1,786.64

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Solution

The fourth proportional to 1,921.64, 2,878.68 and 1,786.64 is: 2,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.64 : 2,878.68 = 1,786.64 : x
  2. Step 2: Convert to fraction form
    1,921.64/2,878.68 = 1,786.64/x
  3. Step 3: Cross multiply
    1,921.64x = 2,878.68 × 1,786.64
  4. Step 4: Simplify right side
    1,921.64x = 5,143,164.84
  5. Step 5: Solve for x
    x = 5,143,164.84/1,921.64
  6. Step 6: Final answer
    x = 2,676.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.