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Finding the Fourth Proportional to 1,911.34, 2,640.15 and 1,539.68

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Solution

The fourth proportional to 1,911.34, 2,640.15 and 1,539.68 is: 2,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.34 : 2,640.15 = 1,539.68 : x
  2. Step 2: Convert to fraction form
    1,911.34/2,640.15 = 1,539.68/x
  3. Step 3: Cross multiply
    1,911.34x = 2,640.15 × 1,539.68
  4. Step 4: Simplify right side
    1,911.34x = 4,064,992.75
  5. Step 5: Solve for x
    x = 4,064,992.75/1,911.34
  6. Step 6: Final answer
    x = 2,126.78

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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.