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Finding the Fourth Proportional to 2,814, 3,883.56 and 1,572.24

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Solution

The fourth proportional to 2,814, 3,883.56 and 1,572.24 is: 2,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 3,883.56 = 1,572.24 : x
  2. Step 2: Convert to fraction form
    2,814/3,883.56 = 1,572.24/x
  3. Step 3: Cross multiply
    2,814x = 3,883.56 × 1,572.24
  4. Step 4: Simplify right side
    2,814x = 6,105,888.37
  5. Step 5: Solve for x
    x = 6,105,888.37/2,814
  6. Step 6: Final answer
    x = 2,169.83

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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.