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Finding the Fourth Proportional to 1,905.44, 2,857.49 and 864.57

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Solution

The fourth proportional to 1,905.44, 2,857.49 and 864.57 is: 1,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.44 : 2,857.49 = 864.57 : x
  2. Step 2: Convert to fraction form
    1,905.44/2,857.49 = 864.57/x
  3. Step 3: Cross multiply
    1,905.44x = 2,857.49 × 864.57
  4. Step 4: Simplify right side
    1,905.44x = 2,470,495.81
  5. Step 5: Solve for x
    x = 2,470,495.81/1,905.44
  6. Step 6: Final answer
    x = 1,296.55

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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.