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Finding the Fourth Proportional to 1,914.24, 2,641.68 and 1,086.24

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Solution

The fourth proportional to 1,914.24, 2,641.68 and 1,086.24 is: 1,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.24 : 2,641.68 = 1,086.24 : x
  2. Step 2: Convert to fraction form
    1,914.24/2,641.68 = 1,086.24/x
  3. Step 3: Cross multiply
    1,914.24x = 2,641.68 × 1,086.24
  4. Step 4: Simplify right side
    1,914.24x = 2,869,498.48
  5. Step 5: Solve for x
    x = 2,869,498.48/1,914.24
  6. Step 6: Final answer
    x = 1,499.03

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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.