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Finding the Fourth Proportional to 2,451.79, 3,380.65 and 1,861.30

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Solution

The fourth proportional to 2,451.79, 3,380.65 and 1,861.30 is: 2,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.79 : 3,380.65 = 1,861.30 : x
  2. Step 2: Convert to fraction form
    2,451.79/3,380.65 = 1,861.30/x
  3. Step 3: Cross multiply
    2,451.79x = 3,380.65 × 1,861.30
  4. Step 4: Simplify right side
    2,451.79x = 6,292,403.85
  5. Step 5: Solve for x
    x = 6,292,403.85/2,451.79
  6. Step 6: Final answer
    x = 2,566.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.