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Finding the Fourth Proportional to 2,563.91, 3,845.56 and 832.53

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Solution

The fourth proportional to 2,563.91, 3,845.56 and 832.53 is: 1,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.91 : 3,845.56 = 832.53 : x
  2. Step 2: Convert to fraction form
    2,563.91/3,845.56 = 832.53/x
  3. Step 3: Cross multiply
    2,563.91x = 3,845.56 × 832.53
  4. Step 4: Simplify right side
    2,563.91x = 3,201,544.07
  5. Step 5: Solve for x
    x = 3,201,544.07/2,563.91
  6. Step 6: Final answer
    x = 1,248.70

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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.