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Finding the Fourth Proportional to 2,857.25, 3,927.85 and 2,457.45

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Solution

The fourth proportional to 2,857.25, 3,927.85 and 2,457.45 is: 3,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.25 : 3,927.85 = 2,457.45 : x
  2. Step 2: Convert to fraction form
    2,857.25/3,927.85 = 2,457.45/x
  3. Step 3: Cross multiply
    2,857.25x = 3,927.85 × 2,457.45
  4. Step 4: Simplify right side
    2,857.25x = 9,652,494.98
  5. Step 5: Solve for x
    x = 9,652,494.98/2,857.25
  6. Step 6: Final answer
    x = 3,378.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.