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Finding the Fourth Proportional to 1,911.72, 2,638.14 and 1,072.43

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Solution

The fourth proportional to 1,911.72, 2,638.14 and 1,072.43 is: 1,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.72 : 2,638.14 = 1,072.43 : x
  2. Step 2: Convert to fraction form
    1,911.72/2,638.14 = 1,072.43/x
  3. Step 3: Cross multiply
    1,911.72x = 2,638.14 × 1,072.43
  4. Step 4: Simplify right side
    1,911.72x = 2,829,207.29
  5. Step 5: Solve for x
    x = 2,829,207.29/1,911.72
  6. Step 6: Final answer
    x = 1,479.93

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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.