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Finding the Fourth Proportional to 2,325.56, 3,208.94 and 1,429.75

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Solution

The fourth proportional to 2,325.56, 3,208.94 and 1,429.75 is: 1,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.56 : 3,208.94 = 1,429.75 : x
  2. Step 2: Convert to fraction form
    2,325.56/3,208.94 = 1,429.75/x
  3. Step 3: Cross multiply
    2,325.56x = 3,208.94 × 1,429.75
  4. Step 4: Simplify right side
    2,325.56x = 4,587,981.97
  5. Step 5: Solve for x
    x = 4,587,981.97/2,325.56
  6. Step 6: Final answer
    x = 1,972.85

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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.