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Finding the Fourth Proportional to 2,543.00, 3,814.25 and 2,102.51

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Solution

The fourth proportional to 2,543.00, 3,814.25 and 2,102.51 is: 3,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.00 : 3,814.25 = 2,102.51 : x
  2. Step 2: Convert to fraction form
    2,543.00/3,814.25 = 2,102.51/x
  3. Step 3: Cross multiply
    2,543.00x = 3,814.25 × 2,102.51
  4. Step 4: Simplify right side
    2,543.00x = 8,019,497.79
  5. Step 5: Solve for x
    x = 8,019,497.79/2,543.00
  6. Step 6: Final answer
    x = 3,153.56

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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.