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Finding the Fourth Proportional to 3,211.77, 4,817.96 and 1,263.52

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Solution

The fourth proportional to 3,211.77, 4,817.96 and 1,263.52 is: 1,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.77 : 4,817.96 = 1,263.52 : x
  2. Step 2: Convert to fraction form
    3,211.77/4,817.96 = 1,263.52/x
  3. Step 3: Cross multiply
    3,211.77x = 4,817.96 × 1,263.52
  4. Step 4: Simplify right side
    3,211.77x = 6,087,573.27
  5. Step 5: Solve for x
    x = 6,087,573.27/3,211.77
  6. Step 6: Final answer
    x = 1,895.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.