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Finding the Fourth Proportional to 3,106.68, 4,660.02 and 798

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Solution

The fourth proportional to 3,106.68, 4,660.02 and 798 is: 1,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.68 : 4,660.02 = 798 : x
  2. Step 2: Convert to fraction form
    3,106.68/4,660.02 = 798/x
  3. Step 3: Cross multiply
    3,106.68x = 4,660.02 × 798
  4. Step 4: Simplify right side
    3,106.68x = 3,718,695.96
  5. Step 5: Solve for x
    x = 3,718,695.96/3,106.68
  6. Step 6: Final answer
    x = 1,197.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.