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Finding the Fourth Proportional to 1,891.11, 2,830.60 and 1,011.41

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Solution

The fourth proportional to 1,891.11, 2,830.60 and 1,011.41 is: 1,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.11 : 2,830.60 = 1,011.41 : x
  2. Step 2: Convert to fraction form
    1,891.11/2,830.60 = 1,011.41/x
  3. Step 3: Cross multiply
    1,891.11x = 2,830.60 × 1,011.41
  4. Step 4: Simplify right side
    1,891.11x = 2,862,892.09
  5. Step 5: Solve for x
    x = 2,862,892.09/1,891.11
  6. Step 6: Final answer
    x = 1,513.87

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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.