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Finding the Fourth Proportional to 2,698.59, 4,047.99 and 967.22

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Solution

The fourth proportional to 2,698.59, 4,047.99 and 967.22 is: 1,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.59 : 4,047.99 = 967.22 : x
  2. Step 2: Convert to fraction form
    2,698.59/4,047.99 = 967.22/x
  3. Step 3: Cross multiply
    2,698.59x = 4,047.99 × 967.22
  4. Step 4: Simplify right side
    2,698.59x = 3,915,271.81
  5. Step 5: Solve for x
    x = 3,915,271.81/2,698.59
  6. Step 6: Final answer
    x = 1,450.86

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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.