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Finding the Fourth Proportional to 2,109.58, 2,910.94 and 1,270.62

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Solution

The fourth proportional to 2,109.58, 2,910.94 and 1,270.62 is: 1,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.58 : 2,910.94 = 1,270.62 : x
  2. Step 2: Convert to fraction form
    2,109.58/2,910.94 = 1,270.62/x
  3. Step 3: Cross multiply
    2,109.58x = 2,910.94 × 1,270.62
  4. Step 4: Simplify right side
    2,109.58x = 3,698,695.41
  5. Step 5: Solve for x
    x = 3,698,695.41/2,109.58
  6. Step 6: Final answer
    x = 1,753.29

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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.