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Finding the Fourth Proportional to 2,968.76, 4,094.16 and 2,548.97

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Solution

The fourth proportional to 2,968.76, 4,094.16 and 2,548.97 is: 3,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.76 : 4,094.16 = 2,548.97 : x
  2. Step 2: Convert to fraction form
    2,968.76/4,094.16 = 2,548.97/x
  3. Step 3: Cross multiply
    2,968.76x = 4,094.16 × 2,548.97
  4. Step 4: Simplify right side
    2,968.76x = 10,435,870.54
  5. Step 5: Solve for x
    x = 10,435,870.54/2,968.76
  6. Step 6: Final answer
    x = 3,515.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.