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Finding the Fourth Proportional to 2,779.50, 4,163.76 and 2,086.98

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Solution

The fourth proportional to 2,779.50, 4,163.76 and 2,086.98 is: 3,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.50 : 4,163.76 = 2,086.98 : x
  2. Step 2: Convert to fraction form
    2,779.50/4,163.76 = 2,086.98/x
  3. Step 3: Cross multiply
    2,779.50x = 4,163.76 × 2,086.98
  4. Step 4: Simplify right side
    2,779.50x = 8,689,683.84
  5. Step 5: Solve for x
    x = 8,689,683.84/2,779.50
  6. Step 6: Final answer
    x = 3,126.35

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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.