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Finding the Fourth Proportional to 3,313, 4,970.67 and 1,463.88

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Solution

The fourth proportional to 3,313, 4,970.67 and 1,463.88 is: 2,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313 : 4,970.67 = 1,463.88 : x
  2. Step 2: Convert to fraction form
    3,313/4,970.67 = 1,463.88/x
  3. Step 3: Cross multiply
    3,313x = 4,970.67 × 1,463.88
  4. Step 4: Simplify right side
    3,313x = 7,276,464.40
  5. Step 5: Solve for x
    x = 7,276,464.40/3,313
  6. Step 6: Final answer
    x = 2,196.34

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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.