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Finding the Fourth Proportional to 2,325.84, 3,206.34 and 1,662.45

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Solution

The fourth proportional to 2,325.84, 3,206.34 and 1,662.45 is: 2,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.84 : 3,206.34 = 1,662.45 : x
  2. Step 2: Convert to fraction form
    2,325.84/3,206.34 = 1,662.45/x
  3. Step 3: Cross multiply
    2,325.84x = 3,206.34 × 1,662.45
  4. Step 4: Simplify right side
    2,325.84x = 5,330,379.93
  5. Step 5: Solve for x
    x = 5,330,379.93/2,325.84
  6. Step 6: Final answer
    x = 2,291.81

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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.