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Finding the Fourth Proportional to 4,656.24, 6,984.32 and 1,694.68

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Solution

The fourth proportional to 4,656.24, 6,984.32 and 1,694.68 is: 2,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.24 : 6,984.32 = 1,694.68 : x
  2. Step 2: Convert to fraction form
    4,656.24/6,984.32 = 1,694.68/x
  3. Step 3: Cross multiply
    4,656.24x = 6,984.32 × 1,694.68
  4. Step 4: Simplify right side
    4,656.24x = 11,836,187.42
  5. Step 5: Solve for x
    x = 11,836,187.42/4,656.24
  6. Step 6: Final answer
    x = 2,542.01

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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.