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Finding the Fourth Proportional to 3,319.43, 4,580.57 and 1,827.14

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Solution

The fourth proportional to 3,319.43, 4,580.57 and 1,827.14 is: 2,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.43 : 4,580.57 = 1,827.14 : x
  2. Step 2: Convert to fraction form
    3,319.43/4,580.57 = 1,827.14/x
  3. Step 3: Cross multiply
    3,319.43x = 4,580.57 × 1,827.14
  4. Step 4: Simplify right side
    3,319.43x = 8,369,324.33
  5. Step 5: Solve for x
    x = 8,369,324.33/3,319.43
  6. Step 6: Final answer
    x = 2,521.32

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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.