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Finding the Fourth Proportional to 1,891.14, 2,609.88 and 1,052.03

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Solution

The fourth proportional to 1,891.14, 2,609.88 and 1,052.03 is: 1,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.14 : 2,609.88 = 1,052.03 : x
  2. Step 2: Convert to fraction form
    1,891.14/2,609.88 = 1,052.03/x
  3. Step 3: Cross multiply
    1,891.14x = 2,609.88 × 1,052.03
  4. Step 4: Simplify right side
    1,891.14x = 2,745,672.06
  5. Step 5: Solve for x
    x = 2,745,672.06/1,891.14
  6. Step 6: Final answer
    x = 1,451.86

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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.