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Finding the Fourth Proportional to 1,372.80, 1,921.92 and 1,372.80

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Solution

The fourth proportional to 1,372.80, 1,921.92 and 1,372.80 is: 1,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.80 : 1,921.92 = 1,372.80 : x
  2. Step 2: Convert to fraction form
    1,372.80/1,921.92 = 1,372.80/x
  3. Step 3: Cross multiply
    1,372.80x = 1,921.92 × 1,372.80
  4. Step 4: Simplify right side
    1,372.80x = 2,638,411.78
  5. Step 5: Solve for x
    x = 2,638,411.78/1,372.80
  6. Step 6: Final answer
    x = 1,921.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.