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Finding the Fourth Proportional to 2,698.92, 4,048.32 and 967.56

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Solution

The fourth proportional to 2,698.92, 4,048.32 and 967.56 is: 1,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.92 : 4,048.32 = 967.56 : x
  2. Step 2: Convert to fraction form
    2,698.92/4,048.32 = 967.56/x
  3. Step 3: Cross multiply
    2,698.92x = 4,048.32 × 967.56
  4. Step 4: Simplify right side
    2,698.92x = 3,916,992.50
  5. Step 5: Solve for x
    x = 3,916,992.50/2,698.92
  6. Step 6: Final answer
    x = 1,451.32

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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.