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Finding the Fourth Proportional to 1,369.37, 2,056.05 and 847.86

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Solution

The fourth proportional to 1,369.37, 2,056.05 and 847.86 is: 1,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.37 : 2,056.05 = 847.86 : x
  2. Step 2: Convert to fraction form
    1,369.37/2,056.05 = 847.86/x
  3. Step 3: Cross multiply
    1,369.37x = 2,056.05 × 847.86
  4. Step 4: Simplify right side
    1,369.37x = 1,743,242.55
  5. Step 5: Solve for x
    x = 1,743,242.55/1,369.37
  6. Step 6: Final answer
    x = 1,273.03

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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.