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Finding the Fourth Proportional to 2,325.70, 3,205.76 and 1,827.48

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Solution

The fourth proportional to 2,325.70, 3,205.76 and 1,827.48 is: 2,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.70 : 3,205.76 = 1,827.48 : x
  2. Step 2: Convert to fraction form
    2,325.70/3,205.76 = 1,827.48/x
  3. Step 3: Cross multiply
    2,325.70x = 3,205.76 × 1,827.48
  4. Step 4: Simplify right side
    2,325.70x = 5,858,446.26
  5. Step 5: Solve for x
    x = 5,858,446.26/2,325.70
  6. Step 6: Final answer
    x = 2,519.01

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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.