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Finding the Fourth Proportional to 2,325.14, 3,208.71 and 1,330.41

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Solution

The fourth proportional to 2,325.14, 3,208.71 and 1,330.41 is: 1,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.14 : 3,208.71 = 1,330.41 : x
  2. Step 2: Convert to fraction form
    2,325.14/3,208.71 = 1,330.41/x
  3. Step 3: Cross multiply
    2,325.14x = 3,208.71 × 1,330.41
  4. Step 4: Simplify right side
    2,325.14x = 4,268,898.84
  5. Step 5: Solve for x
    x = 4,268,898.84/2,325.14
  6. Step 6: Final answer
    x = 1,835.98

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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.