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Finding the Fourth Proportional to 2,480.67, 3,713.72 and 1,827

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Solution

The fourth proportional to 2,480.67, 3,713.72 and 1,827 is: 2,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.67 : 3,713.72 = 1,827 : x
  2. Step 2: Convert to fraction form
    2,480.67/3,713.72 = 1,827/x
  3. Step 3: Cross multiply
    2,480.67x = 3,713.72 × 1,827
  4. Step 4: Simplify right side
    2,480.67x = 6,784,957.31
  5. Step 5: Solve for x
    x = 6,784,957.31/2,480.67
  6. Step 6: Final answer
    x = 2,735.13

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Why These Related Problems?

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