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Finding the Fourth Proportional to 2,361.64, 3,542.94 and 823.72

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Solution

The fourth proportional to 2,361.64, 3,542.94 and 823.72 is: 1,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.64 : 3,542.94 = 823.72 : x
  2. Step 2: Convert to fraction form
    2,361.64/3,542.94 = 823.72/x
  3. Step 3: Cross multiply
    2,361.64x = 3,542.94 × 823.72
  4. Step 4: Simplify right side
    2,361.64x = 2,918,390.54
  5. Step 5: Solve for x
    x = 2,918,390.54/2,361.64
  6. Step 6: Final answer
    x = 1,235.75

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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.