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Finding the Fourth Proportional to 3,313.70, 4,969.78 and 973.20

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Solution

The fourth proportional to 3,313.70, 4,969.78 and 973.20 is: 1,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.70 : 4,969.78 = 973.20 : x
  2. Step 2: Convert to fraction form
    3,313.70/4,969.78 = 973.20/x
  3. Step 3: Cross multiply
    3,313.70x = 4,969.78 × 973.20
  4. Step 4: Simplify right side
    3,313.70x = 4,836,589.90
  5. Step 5: Solve for x
    x = 4,836,589.90/3,313.70
  6. Step 6: Final answer
    x = 1,459.57

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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.