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Finding the Fourth Proportional to 1,914.57, 2,642.36 and 1,168.63

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Solution

The fourth proportional to 1,914.57, 2,642.36 and 1,168.63 is: 1,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.57 : 2,642.36 = 1,168.63 : x
  2. Step 2: Convert to fraction form
    1,914.57/2,642.36 = 1,168.63/x
  3. Step 3: Cross multiply
    1,914.57x = 2,642.36 × 1,168.63
  4. Step 4: Simplify right side
    1,914.57x = 3,087,928.72
  5. Step 5: Solve for x
    x = 3,087,928.72/1,914.57
  6. Step 6: Final answer
    x = 1,612.86

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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.