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Finding the Fourth Proportional to 2,814.78, 4,222.17 and 1,083

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Solution

The fourth proportional to 2,814.78, 4,222.17 and 1,083 is: 1,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.78 : 4,222.17 = 1,083 : x
  2. Step 2: Convert to fraction form
    2,814.78/4,222.17 = 1,083/x
  3. Step 3: Cross multiply
    2,814.78x = 4,222.17 × 1,083
  4. Step 4: Simplify right side
    2,814.78x = 4,572,610.11
  5. Step 5: Solve for x
    x = 4,572,610.11/2,814.78
  6. Step 6: Final answer
    x = 1,624.50

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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.