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Finding the Fourth Proportional to 2,305.36, 3,458.64 and 662.02

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Solution

The fourth proportional to 2,305.36, 3,458.64 and 662.02 is: 993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.36 : 3,458.64 = 662.02 : x
  2. Step 2: Convert to fraction form
    2,305.36/3,458.64 = 662.02/x
  3. Step 3: Cross multiply
    2,305.36x = 3,458.64 × 662.02
  4. Step 4: Simplify right side
    2,305.36x = 2,289,688.85
  5. Step 5: Solve for x
    x = 2,289,688.85/2,305.36
  6. Step 6: Final answer
    x = 993.20

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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.