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Finding the Fourth Proportional to 2,676.65, 4,015.62 and 921.68

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Solution

The fourth proportional to 2,676.65, 4,015.62 and 921.68 is: 1,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.65 : 4,015.62 = 921.68 : x
  2. Step 2: Convert to fraction form
    2,676.65/4,015.62 = 921.68/x
  3. Step 3: Cross multiply
    2,676.65x = 4,015.62 × 921.68
  4. Step 4: Simplify right side
    2,676.65x = 3,701,116.64
  5. Step 5: Solve for x
    x = 3,701,116.64/2,676.65
  6. Step 6: Final answer
    x = 1,382.74

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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.