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Finding the Fourth Proportional to 2,323, 3,205.64 and 1,328.24

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Solution

The fourth proportional to 2,323, 3,205.64 and 1,328.24 is: 1,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323 : 3,205.64 = 1,328.24 : x
  2. Step 2: Convert to fraction form
    2,323/3,205.64 = 1,328.24/x
  3. Step 3: Cross multiply
    2,323x = 3,205.64 × 1,328.24
  4. Step 4: Simplify right side
    2,323x = 4,257,859.27
  5. Step 5: Solve for x
    x = 4,257,859.27/2,323
  6. Step 6: Final answer
    x = 1,832.91

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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.