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Finding the Fourth Proportional to 1,914.54, 2,641.11 and 1,284.26

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Solution

The fourth proportional to 1,914.54, 2,641.11 and 1,284.26 is: 1,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.54 : 2,641.11 = 1,284.26 : x
  2. Step 2: Convert to fraction form
    1,914.54/2,641.11 = 1,284.26/x
  3. Step 3: Cross multiply
    1,914.54x = 2,641.11 × 1,284.26
  4. Step 4: Simplify right side
    1,914.54x = 3,391,853.91
  5. Step 5: Solve for x
    x = 3,391,853.91/1,914.54
  6. Step 6: Final answer
    x = 1,771.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.