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Finding the Fourth Proportional to 1,914.46, 2,640.54 and 1,242.43

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Solution

The fourth proportional to 1,914.46, 2,640.54 and 1,242.43 is: 1,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.46 : 2,640.54 = 1,242.43 : x
  2. Step 2: Convert to fraction form
    1,914.46/2,640.54 = 1,242.43/x
  3. Step 3: Cross multiply
    1,914.46x = 2,640.54 × 1,242.43
  4. Step 4: Simplify right side
    1,914.46x = 3,280,686.11
  5. Step 5: Solve for x
    x = 3,280,686.11/1,914.46
  6. Step 6: Final answer
    x = 1,713.64

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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.