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Finding the Fourth Proportional to 2,313.77, 3,470.15 and 669.88

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Solution

The fourth proportional to 2,313.77, 3,470.15 and 669.88 is: 1,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.77 : 3,470.15 = 669.88 : x
  2. Step 2: Convert to fraction form
    2,313.77/3,470.15 = 669.88/x
  3. Step 3: Cross multiply
    2,313.77x = 3,470.15 × 669.88
  4. Step 4: Simplify right side
    2,313.77x = 2,324,584.08
  5. Step 5: Solve for x
    x = 2,324,584.08/2,313.77
  6. Step 6: Final answer
    x = 1,004.67

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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.