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Finding the Fourth Proportional to 2,580.43, 3,870.28 and 825.64

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Solution

The fourth proportional to 2,580.43, 3,870.28 and 825.64 is: 1,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.43 : 3,870.28 = 825.64 : x
  2. Step 2: Convert to fraction form
    2,580.43/3,870.28 = 825.64/x
  3. Step 3: Cross multiply
    2,580.43x = 3,870.28 × 825.64
  4. Step 4: Simplify right side
    2,580.43x = 3,195,457.98
  5. Step 5: Solve for x
    x = 3,195,457.98/2,580.43
  6. Step 6: Final answer
    x = 1,238.34

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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.