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Finding the Fourth Proportional to 2,336.64, 3,224.64 and 1,288.80

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Solution

The fourth proportional to 2,336.64, 3,224.64 and 1,288.80 is: 1,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.64 : 3,224.64 = 1,288.80 : x
  2. Step 2: Convert to fraction form
    2,336.64/3,224.64 = 1,288.80/x
  3. Step 3: Cross multiply
    2,336.64x = 3,224.64 × 1,288.80
  4. Step 4: Simplify right side
    2,336.64x = 4,155,916.03
  5. Step 5: Solve for x
    x = 4,155,916.03/2,336.64
  6. Step 6: Final answer
    x = 1,778.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.