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Finding the Fourth Proportional to 3,313.50, 4,970.74 and 1,121.49

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Solution

The fourth proportional to 3,313.50, 4,970.74 and 1,121.49 is: 1,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.50 : 4,970.74 = 1,121.49 : x
  2. Step 2: Convert to fraction form
    3,313.50/4,970.74 = 1,121.49/x
  3. Step 3: Cross multiply
    3,313.50x = 4,970.74 × 1,121.49
  4. Step 4: Simplify right side
    3,313.50x = 5,574,635.20
  5. Step 5: Solve for x
    x = 5,574,635.20/3,313.50
  6. Step 6: Final answer
    x = 1,682.40

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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.