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Finding the Fourth Proportional to 2,814.33, 3,883.78 and 1,572.33

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Solution

The fourth proportional to 2,814.33, 3,883.78 and 1,572.33 is: 2,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.33 : 3,883.78 = 1,572.33 : x
  2. Step 2: Convert to fraction form
    2,814.33/3,883.78 = 1,572.33/x
  3. Step 3: Cross multiply
    2,814.33x = 3,883.78 × 1,572.33
  4. Step 4: Simplify right side
    2,814.33x = 6,106,579.88
  5. Step 5: Solve for x
    x = 6,106,579.88/2,814.33
  6. Step 6: Final answer
    x = 2,169.82

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