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Finding the Fourth Proportional to 1,911.71, 2,636.48 and 1,380.46

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Solution

The fourth proportional to 1,911.71, 2,636.48 and 1,380.46 is: 1,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.71 : 2,636.48 = 1,380.46 : x
  2. Step 2: Convert to fraction form
    1,911.71/2,636.48 = 1,380.46/x
  3. Step 3: Cross multiply
    1,911.71x = 2,636.48 × 1,380.46
  4. Step 4: Simplify right side
    1,911.71x = 3,639,542.00
  5. Step 5: Solve for x
    x = 3,639,542.00/1,911.71
  6. Step 6: Final answer
    x = 1,903.81

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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.