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Finding the Fourth Proportional to 2,041.23, 3,060.11 and 809.51

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Solution

The fourth proportional to 2,041.23, 3,060.11 and 809.51 is: 1,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.23 : 3,060.11 = 809.51 : x
  2. Step 2: Convert to fraction form
    2,041.23/3,060.11 = 809.51/x
  3. Step 3: Cross multiply
    2,041.23x = 3,060.11 × 809.51
  4. Step 4: Simplify right side
    2,041.23x = 2,477,189.65
  5. Step 5: Solve for x
    x = 2,477,189.65/2,041.23
  6. Step 6: Final answer
    x = 1,213.58

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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.