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Finding the Fourth Proportional to 2,812.12, 3,880.02 and 1,633.24

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Solution

The fourth proportional to 2,812.12, 3,880.02 and 1,633.24 is: 2,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.12 : 3,880.02 = 1,633.24 : x
  2. Step 2: Convert to fraction form
    2,812.12/3,880.02 = 1,633.24/x
  3. Step 3: Cross multiply
    2,812.12x = 3,880.02 × 1,633.24
  4. Step 4: Simplify right side
    2,812.12x = 6,337,003.86
  5. Step 5: Solve for x
    x = 6,337,003.86/2,812.12
  6. Step 6: Final answer
    x = 2,253.46

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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.