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Finding the Fourth Proportional to 2,325.04, 3,485.56 and 863.92

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Solution

The fourth proportional to 2,325.04, 3,485.56 and 863.92 is: 1,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.04 : 3,485.56 = 863.92 : x
  2. Step 2: Convert to fraction form
    2,325.04/3,485.56 = 863.92/x
  3. Step 3: Cross multiply
    2,325.04x = 3,485.56 × 863.92
  4. Step 4: Simplify right side
    2,325.04x = 3,011,245.00
  5. Step 5: Solve for x
    x = 3,011,245.00/2,325.04
  6. Step 6: Final answer
    x = 1,295.14

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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.