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Finding the Fourth Proportional to 3,319.20, 4,580.54 and 1,827.09

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Solution

The fourth proportional to 3,319.20, 4,580.54 and 1,827.09 is: 2,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.20 : 4,580.54 = 1,827.09 : x
  2. Step 2: Convert to fraction form
    3,319.20/4,580.54 = 1,827.09/x
  3. Step 3: Cross multiply
    3,319.20x = 4,580.54 × 1,827.09
  4. Step 4: Simplify right side
    3,319.20x = 8,369,049.69
  5. Step 5: Solve for x
    x = 8,369,049.69/3,319.20
  6. Step 6: Final answer
    x = 2,521.41

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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.