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Finding the Fourth Proportional to 3,116.50, 4,300.77 and 1,874.50

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Solution

The fourth proportional to 3,116.50, 4,300.77 and 1,874.50 is: 2,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.50 : 4,300.77 = 1,874.50 : x
  2. Step 2: Convert to fraction form
    3,116.50/4,300.77 = 1,874.50/x
  3. Step 3: Cross multiply
    3,116.50x = 4,300.77 × 1,874.50
  4. Step 4: Simplify right side
    3,116.50x = 8,061,793.37
  5. Step 5: Solve for x
    x = 8,061,793.37/3,116.50
  6. Step 6: Final answer
    x = 2,586.81

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