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Finding the Fourth Proportional to 2,109.84, 2,910.69 and 1,270.54

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Solution

The fourth proportional to 2,109.84, 2,910.69 and 1,270.54 is: 1,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.84 : 2,910.69 = 1,270.54 : x
  2. Step 2: Convert to fraction form
    2,109.84/2,910.69 = 1,270.54/x
  3. Step 3: Cross multiply
    2,109.84x = 2,910.69 × 1,270.54
  4. Step 4: Simplify right side
    2,109.84x = 3,698,148.07
  5. Step 5: Solve for x
    x = 3,698,148.07/2,109.84
  6. Step 6: Final answer
    x = 1,752.81

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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.