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Finding the Fourth Proportional to 6,102.80, 9,154.20 and 1,485.80

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Solution

The fourth proportional to 6,102.80, 9,154.20 and 1,485.80 is: 2,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.80 : 9,154.20 = 1,485.80 : x
  2. Step 2: Convert to fraction form
    6,102.80/9,154.20 = 1,485.80/x
  3. Step 3: Cross multiply
    6,102.80x = 9,154.20 × 1,485.80
  4. Step 4: Simplify right side
    6,102.80x = 13,601,310.36
  5. Step 5: Solve for x
    x = 13,601,310.36/6,102.80
  6. Step 6: Final answer
    x = 2,228.70

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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.