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Finding the Fourth Proportional to 2,543.50, 3,808.32 and 1,925.34

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Solution

The fourth proportional to 2,543.50, 3,808.32 and 1,925.34 is: 2,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.50 : 3,808.32 = 1,925.34 : x
  2. Step 2: Convert to fraction form
    2,543.50/3,808.32 = 1,925.34/x
  3. Step 3: Cross multiply
    2,543.50x = 3,808.32 × 1,925.34
  4. Step 4: Simplify right side
    2,543.50x = 7,332,310.83
  5. Step 5: Solve for x
    x = 7,332,310.83/2,543.50
  6. Step 6: Final answer
    x = 2,882.76

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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.