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Finding the Fourth Proportional to 1,811.62, 2,709.51 and 1,680.34

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Solution

The fourth proportional to 1,811.62, 2,709.51 and 1,680.34 is: 2,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.62 : 2,709.51 = 1,680.34 : x
  2. Step 2: Convert to fraction form
    1,811.62/2,709.51 = 1,680.34/x
  3. Step 3: Cross multiply
    1,811.62x = 2,709.51 × 1,680.34
  4. Step 4: Simplify right side
    1,811.62x = 4,552,898.03
  5. Step 5: Solve for x
    x = 4,552,898.03/1,811.62
  6. Step 6: Final answer
    x = 2,513.16

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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.