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Finding the Fourth Proportional to 1,940.35, 2,910.49 and 707.75

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Solution

The fourth proportional to 1,940.35, 2,910.49 and 707.75 is: 1,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.35 : 2,910.49 = 707.75 : x
  2. Step 2: Convert to fraction form
    1,940.35/2,910.49 = 707.75/x
  3. Step 3: Cross multiply
    1,940.35x = 2,910.49 × 707.75
  4. Step 4: Simplify right side
    1,940.35x = 2,059,892.02
  5. Step 5: Solve for x
    x = 2,059,892.02/1,940.35
  6. Step 6: Final answer
    x = 1,061.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.