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Finding the Fourth Proportional to 2,543.12, 3,814.28 and 694.38

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Solution

The fourth proportional to 2,543.12, 3,814.28 and 694.38 is: 1,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.12 : 3,814.28 = 694.38 : x
  2. Step 2: Convert to fraction form
    2,543.12/3,814.28 = 694.38/x
  3. Step 3: Cross multiply
    2,543.12x = 3,814.28 × 694.38
  4. Step 4: Simplify right side
    2,543.12x = 2,648,559.75
  5. Step 5: Solve for x
    x = 2,648,559.75/2,543.12
  6. Step 6: Final answer
    x = 1,041.46

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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.