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Finding the Fourth Proportional to 2,653.16, 3,979.46 and 678.80

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Solution

The fourth proportional to 2,653.16, 3,979.46 and 678.80 is: 1,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.16 : 3,979.46 = 678.80 : x
  2. Step 2: Convert to fraction form
    2,653.16/3,979.46 = 678.80/x
  3. Step 3: Cross multiply
    2,653.16x = 3,979.46 × 678.80
  4. Step 4: Simplify right side
    2,653.16x = 2,701,257.45
  5. Step 5: Solve for x
    x = 2,701,257.45/2,653.16
  6. Step 6: Final answer
    x = 1,018.13

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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.