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Finding the Fourth Proportional to 2,325.32, 3,485.10 and 863.72

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Solution

The fourth proportional to 2,325.32, 3,485.10 and 863.72 is: 1,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.32 : 3,485.10 = 863.72 : x
  2. Step 2: Convert to fraction form
    2,325.32/3,485.10 = 863.72/x
  3. Step 3: Cross multiply
    2,325.32x = 3,485.10 × 863.72
  4. Step 4: Simplify right side
    2,325.32x = 3,010,150.57
  5. Step 5: Solve for x
    x = 3,010,150.57/2,325.32
  6. Step 6: Final answer
    x = 1,294.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.