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Finding the Fourth Proportional to 2,795.67, 4,193.94 and 847.41

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Solution

The fourth proportional to 2,795.67, 4,193.94 and 847.41 is: 1,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.67 : 4,193.94 = 847.41 : x
  2. Step 2: Convert to fraction form
    2,795.67/4,193.94 = 847.41/x
  3. Step 3: Cross multiply
    2,795.67x = 4,193.94 × 847.41
  4. Step 4: Simplify right side
    2,795.67x = 3,553,986.70
  5. Step 5: Solve for x
    x = 3,553,986.70/2,795.67
  6. Step 6: Final answer
    x = 1,271.25

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1.5x scale

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.