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Finding the Fourth Proportional to 2,811.60, 3,882.60 and 1,882.80

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Solution

The fourth proportional to 2,811.60, 3,882.60 and 1,882.80 is: 2,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.60 : 3,882.60 = 1,882.80 : x
  2. Step 2: Convert to fraction form
    2,811.60/3,882.60 = 1,882.80/x
  3. Step 3: Cross multiply
    2,811.60x = 3,882.60 × 1,882.80
  4. Step 4: Simplify right side
    2,811.60x = 7,310,159.28
  5. Step 5: Solve for x
    x = 7,310,159.28/2,811.60
  6. Step 6: Final answer
    x = 2,600.00

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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.