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Finding the Fourth Proportional to 2,280.63, 3,421.25 and 799.50

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Solution

The fourth proportional to 2,280.63, 3,421.25 and 799.50 is: 1,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.63 : 3,421.25 = 799.50 : x
  2. Step 2: Convert to fraction form
    2,280.63/3,421.25 = 799.50/x
  3. Step 3: Cross multiply
    2,280.63x = 3,421.25 × 799.50
  4. Step 4: Simplify right side
    2,280.63x = 2,735,305.70
  5. Step 5: Solve for x
    x = 2,735,305.70/2,280.63
  6. Step 6: Final answer
    x = 1,199.37

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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.