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Finding the Fourth Proportional to 2,811.68, 3,880.12 and 1,632.84

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Solution

The fourth proportional to 2,811.68, 3,880.12 and 1,632.84 is: 2,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.68 : 3,880.12 = 1,632.84 : x
  2. Step 2: Convert to fraction form
    2,811.68/3,880.12 = 1,632.84/x
  3. Step 3: Cross multiply
    2,811.68x = 3,880.12 × 1,632.84
  4. Step 4: Simplify right side
    2,811.68x = 6,335,615.14
  5. Step 5: Solve for x
    x = 6,335,615.14/2,811.68
  6. Step 6: Final answer
    x = 2,253.32

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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.