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Finding the Fourth Proportional to 1,390.75, 2,081.97 and 841.27

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Solution

The fourth proportional to 1,390.75, 2,081.97 and 841.27 is: 1,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.75 : 2,081.97 = 841.27 : x
  2. Step 2: Convert to fraction form
    1,390.75/2,081.97 = 841.27/x
  3. Step 3: Cross multiply
    1,390.75x = 2,081.97 × 841.27
  4. Step 4: Simplify right side
    1,390.75x = 1,751,498.90
  5. Step 5: Solve for x
    x = 1,751,498.90/1,390.75
  6. Step 6: Final answer
    x = 1,259.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.