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Finding the Fourth Proportional to 1,911.71, 2,638.19 and 1,072.60

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Solution

The fourth proportional to 1,911.71, 2,638.19 and 1,072.60 is: 1,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.71 : 2,638.19 = 1,072.60 : x
  2. Step 2: Convert to fraction form
    1,911.71/2,638.19 = 1,072.60/x
  3. Step 3: Cross multiply
    1,911.71x = 2,638.19 × 1,072.60
  4. Step 4: Simplify right side
    1,911.71x = 2,829,722.59
  5. Step 5: Solve for x
    x = 2,829,722.59/1,911.71
  6. Step 6: Final answer
    x = 1,480.20

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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.