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Finding the Fourth Proportional to 2,305.35, 3,449.79 and 1,846.08

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Solution

The fourth proportional to 2,305.35, 3,449.79 and 1,846.08 is: 2,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.35 : 3,449.79 = 1,846.08 : x
  2. Step 2: Convert to fraction form
    2,305.35/3,449.79 = 1,846.08/x
  3. Step 3: Cross multiply
    2,305.35x = 3,449.79 × 1,846.08
  4. Step 4: Simplify right side
    2,305.35x = 6,368,588.32
  5. Step 5: Solve for x
    x = 6,368,588.32/2,305.35
  6. Step 6: Final answer
    x = 2,762.53

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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.