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Finding the Fourth Proportional to 2,678.75, 4,018.72 and 1,293.25

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Solution

The fourth proportional to 2,678.75, 4,018.72 and 1,293.25 is: 1,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.75 : 4,018.72 = 1,293.25 : x
  2. Step 2: Convert to fraction form
    2,678.75/4,018.72 = 1,293.25/x
  3. Step 3: Cross multiply
    2,678.75x = 4,018.72 × 1,293.25
  4. Step 4: Simplify right side
    2,678.75x = 5,197,209.64
  5. Step 5: Solve for x
    x = 5,197,209.64/2,678.75
  6. Step 6: Final answer
    x = 1,940.16

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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.