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Finding the Fourth Proportional to 1,863.02, 2,571 and 1,023.73

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Solution

The fourth proportional to 1,863.02, 2,571 and 1,023.73 is: 1,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.02 : 2,571 = 1,023.73 : x
  2. Step 2: Convert to fraction form
    1,863.02/2,571 = 1,023.73/x
  3. Step 3: Cross multiply
    1,863.02x = 2,571 × 1,023.73
  4. Step 4: Simplify right side
    1,863.02x = 2,632,009.83
  5. Step 5: Solve for x
    x = 2,632,009.83/1,863.02
  6. Step 6: Final answer
    x = 1,412.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.