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Finding the Fourth Proportional to 2,817.37, 4,226.62 and 869.50

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Solution

The fourth proportional to 2,817.37, 4,226.62 and 869.50 is: 1,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.37 : 4,226.62 = 869.50 : x
  2. Step 2: Convert to fraction form
    2,817.37/4,226.62 = 869.50/x
  3. Step 3: Cross multiply
    2,817.37x = 4,226.62 × 869.50
  4. Step 4: Simplify right side
    2,817.37x = 3,675,046.09
  5. Step 5: Solve for x
    x = 3,675,046.09/2,817.37
  6. Step 6: Final answer
    x = 1,304.42

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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.