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Finding the Fourth Proportional to 2,968.37, 4,096.19 and 1,642.00

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Solution

The fourth proportional to 2,968.37, 4,096.19 and 1,642.00 is: 2,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.37 : 4,096.19 = 1,642.00 : x
  2. Step 2: Convert to fraction form
    2,968.37/4,096.19 = 1,642.00/x
  3. Step 3: Cross multiply
    2,968.37x = 4,096.19 × 1,642.00
  4. Step 4: Simplify right side
    2,968.37x = 6,725,936.29
  5. Step 5: Solve for x
    x = 6,725,936.29/2,968.37
  6. Step 6: Final answer
    x = 2,265.87

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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.