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Finding the Fourth Proportional to 2,809.81, 3,875.20 and 2,109.97

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Solution

The fourth proportional to 2,809.81, 3,875.20 and 2,109.97 is: 2,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.81 : 3,875.20 = 2,109.97 : x
  2. Step 2: Convert to fraction form
    2,809.81/3,875.20 = 2,109.97/x
  3. Step 3: Cross multiply
    2,809.81x = 3,875.20 × 2,109.97
  4. Step 4: Simplify right side
    2,809.81x = 8,176,555.74
  5. Step 5: Solve for x
    x = 8,176,555.74/2,809.81
  6. Step 6: Final answer
    x = 2,910.00

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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.