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Finding the Fourth Proportional to 3,423.48, 5,131.80 and 1,340.64

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Solution

The fourth proportional to 3,423.48, 5,131.80 and 1,340.64 is: 2,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.48 : 5,131.80 = 1,340.64 : x
  2. Step 2: Convert to fraction form
    3,423.48/5,131.80 = 1,340.64/x
  3. Step 3: Cross multiply
    3,423.48x = 5,131.80 × 1,340.64
  4. Step 4: Simplify right side
    3,423.48x = 6,879,896.35
  5. Step 5: Solve for x
    x = 6,879,896.35/3,423.48
  6. Step 6: Final answer
    x = 2,009.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.