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Finding the Fourth Proportional to 2,891.16, 3,992.22 and 1,830.80

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Solution

The fourth proportional to 2,891.16, 3,992.22 and 1,830.80 is: 2,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.16 : 3,992.22 = 1,830.80 : x
  2. Step 2: Convert to fraction form
    2,891.16/3,992.22 = 1,830.80/x
  3. Step 3: Cross multiply
    2,891.16x = 3,992.22 × 1,830.80
  4. Step 4: Simplify right side
    2,891.16x = 7,308,966.36
  5. Step 5: Solve for x
    x = 7,308,966.36/2,891.16
  6. Step 6: Final answer
    x = 2,528.04

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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.