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Finding the Fourth Proportional to 2,699, 4,044.28 and 2,112.56

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Solution

The fourth proportional to 2,699, 4,044.28 and 2,112.56 is: 3,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699 : 4,044.28 = 2,112.56 : x
  2. Step 2: Convert to fraction form
    2,699/4,044.28 = 2,112.56/x
  3. Step 3: Cross multiply
    2,699x = 4,044.28 × 2,112.56
  4. Step 4: Simplify right side
    2,699x = 8,543,784.16
  5. Step 5: Solve for x
    x = 8,543,784.16/2,699
  6. Step 6: Final answer
    x = 3,165.54

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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.