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Finding the Fourth Proportional to 2,325.74, 3,208.73 and 1,330.31

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Solution

The fourth proportional to 2,325.74, 3,208.73 and 1,330.31 is: 1,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.74 : 3,208.73 = 1,330.31 : x
  2. Step 2: Convert to fraction form
    2,325.74/3,208.73 = 1,330.31/x
  3. Step 3: Cross multiply
    2,325.74x = 3,208.73 × 1,330.31
  4. Step 4: Simplify right side
    2,325.74x = 4,268,582.91
  5. Step 5: Solve for x
    x = 4,268,582.91/2,325.74
  6. Step 6: Final answer
    x = 1,835.37

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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.