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Finding the Fourth Proportional to 2,543.10, 3,814.86 and 694.23

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Solution

The fourth proportional to 2,543.10, 3,814.86 and 694.23 is: 1,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.10 : 3,814.86 = 694.23 : x
  2. Step 2: Convert to fraction form
    2,543.10/3,814.86 = 694.23/x
  3. Step 3: Cross multiply
    2,543.10x = 3,814.86 × 694.23
  4. Step 4: Simplify right side
    2,543.10x = 2,648,390.26
  5. Step 5: Solve for x
    x = 2,648,390.26/2,543.10
  6. Step 6: Final answer
    x = 1,041.40

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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.