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Finding the Fourth Proportional to 2,671.97, 4,007.59 and 823.04

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Solution

The fourth proportional to 2,671.97, 4,007.59 and 823.04 is: 1,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.97 : 4,007.59 = 823.04 : x
  2. Step 2: Convert to fraction form
    2,671.97/4,007.59 = 823.04/x
  3. Step 3: Cross multiply
    2,671.97x = 4,007.59 × 823.04
  4. Step 4: Simplify right side
    2,671.97x = 3,298,399.81
  5. Step 5: Solve for x
    x = 3,298,399.81/2,671.97
  6. Step 6: Final answer
    x = 1,234.45

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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.