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Finding the Fourth Proportional to 4,313.36, 6,460.32 and 2,000

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Solution

The fourth proportional to 4,313.36, 6,460.32 and 2,000 is: 2,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.36 : 6,460.32 = 2,000 : x
  2. Step 2: Convert to fraction form
    4,313.36/6,460.32 = 2,000/x
  3. Step 3: Cross multiply
    4,313.36x = 6,460.32 × 2,000
  4. Step 4: Simplify right side
    4,313.36x = 12,920,640
  5. Step 5: Solve for x
    x = 12,920,640/4,313.36
  6. Step 6: Final answer
    x = 2,995.49

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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.