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Finding the Fourth Proportional to 3,230.32, 4,456.74 and 1,971.04

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Solution

The fourth proportional to 3,230.32, 4,456.74 and 1,971.04 is: 2,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.32 : 4,456.74 = 1,971.04 : x
  2. Step 2: Convert to fraction form
    3,230.32/4,456.74 = 1,971.04/x
  3. Step 3: Cross multiply
    3,230.32x = 4,456.74 × 1,971.04
  4. Step 4: Simplify right side
    3,230.32x = 8,784,412.81
  5. Step 5: Solve for x
    x = 8,784,412.81/3,230.32
  6. Step 6: Final answer
    x = 2,719.36

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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.