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Finding the Fourth Proportional to 2,109.69, 3,152.76 and 1,892.88

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Solution

The fourth proportional to 2,109.69, 3,152.76 and 1,892.88 is: 2,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.69 : 3,152.76 = 1,892.88 : x
  2. Step 2: Convert to fraction form
    2,109.69/3,152.76 = 1,892.88/x
  3. Step 3: Cross multiply
    2,109.69x = 3,152.76 × 1,892.88
  4. Step 4: Simplify right side
    2,109.69x = 5,967,796.35
  5. Step 5: Solve for x
    x = 5,967,796.35/2,109.69
  6. Step 6: Final answer
    x = 2,828.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.