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Finding the Fourth Proportional to 2,592.45, 3,885.95 and 1,861.64

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Solution

The fourth proportional to 2,592.45, 3,885.95 and 1,861.64 is: 2,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.45 : 3,885.95 = 1,861.64 : x
  2. Step 2: Convert to fraction form
    2,592.45/3,885.95 = 1,861.64/x
  3. Step 3: Cross multiply
    2,592.45x = 3,885.95 × 1,861.64
  4. Step 4: Simplify right side
    2,592.45x = 7,234,211.22
  5. Step 5: Solve for x
    x = 7,234,211.22/2,592.45
  6. Step 6: Final answer
    x = 2,790.49

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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.