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Finding the Fourth Proportional to 2,146.35, 3,218.98 and 847.83

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Solution

The fourth proportional to 2,146.35, 3,218.98 and 847.83 is: 1,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.35 : 3,218.98 = 847.83 : x
  2. Step 2: Convert to fraction form
    2,146.35/3,218.98 = 847.83/x
  3. Step 3: Cross multiply
    2,146.35x = 3,218.98 × 847.83
  4. Step 4: Simplify right side
    2,146.35x = 2,729,147.81
  5. Step 5: Solve for x
    x = 2,729,147.81/2,146.35
  6. Step 6: Final answer
    x = 1,271.53

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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.