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Finding the Fourth Proportional to 2,309.46, 3,444.20 and 2,049.18

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Solution

The fourth proportional to 2,309.46, 3,444.20 and 2,049.18 is: 3,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.46 : 3,444.20 = 2,049.18 : x
  2. Step 2: Convert to fraction form
    2,309.46/3,444.20 = 2,049.18/x
  3. Step 3: Cross multiply
    2,309.46x = 3,444.20 × 2,049.18
  4. Step 4: Simplify right side
    2,309.46x = 7,057,775.51
  5. Step 5: Solve for x
    x = 7,057,775.51/2,309.46
  6. Step 6: Final answer
    x = 3,056.03

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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.