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Finding the Fourth Proportional to 2,009.68, 3,015.43 and 1,280.68

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Solution

The fourth proportional to 2,009.68, 3,015.43 and 1,280.68 is: 1,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.68 : 3,015.43 = 1,280.68 : x
  2. Step 2: Convert to fraction form
    2,009.68/3,015.43 = 1,280.68/x
  3. Step 3: Cross multiply
    2,009.68x = 3,015.43 × 1,280.68
  4. Step 4: Simplify right side
    2,009.68x = 3,861,790.15
  5. Step 5: Solve for x
    x = 3,861,790.15/2,009.68
  6. Step 6: Final answer
    x = 1,921.60

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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.