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Finding the Fourth Proportional to 1,546.08, 2,133.65 and 847.46

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Solution

The fourth proportional to 1,546.08, 2,133.65 and 847.46 is: 1,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.08 : 2,133.65 = 847.46 : x
  2. Step 2: Convert to fraction form
    1,546.08/2,133.65 = 847.46/x
  3. Step 3: Cross multiply
    1,546.08x = 2,133.65 × 847.46
  4. Step 4: Simplify right side
    1,546.08x = 1,808,183.03
  5. Step 5: Solve for x
    x = 1,808,183.03/1,546.08
  6. Step 6: Final answer
    x = 1,169.53

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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.