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Finding the Fourth Proportional to 1,857.09, 2,785.17 and 624.48

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Solution

The fourth proportional to 1,857.09, 2,785.17 and 624.48 is: 936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.09 : 2,785.17 = 624.48 : x
  2. Step 2: Convert to fraction form
    1,857.09/2,785.17 = 624.48/x
  3. Step 3: Cross multiply
    1,857.09x = 2,785.17 × 624.48
  4. Step 4: Simplify right side
    1,857.09x = 1,739,274.86
  5. Step 5: Solve for x
    x = 1,739,274.86/1,857.09
  6. Step 6: Final answer
    x = 936.56

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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.