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Finding the Fourth Proportional to 2,381.96, 3,285.96 and 1,542.80

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Solution

The fourth proportional to 2,381.96, 3,285.96 and 1,542.80 is: 2,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.96 : 3,285.96 = 1,542.80 : x
  2. Step 2: Convert to fraction form
    2,381.96/3,285.96 = 1,542.80/x
  3. Step 3: Cross multiply
    2,381.96x = 3,285.96 × 1,542.80
  4. Step 4: Simplify right side
    2,381.96x = 5,069,579.09
  5. Step 5: Solve for x
    x = 5,069,579.09/2,381.96
  6. Step 6: Final answer
    x = 2,128.32

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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.