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Finding the Fourth Proportional to 3,133.60, 4,694.01 and 1,485.14

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Solution

The fourth proportional to 3,133.60, 4,694.01 and 1,485.14 is: 2,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.60 : 4,694.01 = 1,485.14 : x
  2. Step 2: Convert to fraction form
    3,133.60/4,694.01 = 1,485.14/x
  3. Step 3: Cross multiply
    3,133.60x = 4,694.01 × 1,485.14
  4. Step 4: Simplify right side
    3,133.60x = 6,971,262.01
  5. Step 5: Solve for x
    x = 6,971,262.01/3,133.60
  6. Step 6: Final answer
    x = 2,224.68

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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.