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Finding the Fourth Proportional to 2,332.41, 3,499.23 and 689.00

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Solution

The fourth proportional to 2,332.41, 3,499.23 and 689.00 is: 1,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.41 : 3,499.23 = 689.00 : x
  2. Step 2: Convert to fraction form
    2,332.41/3,499.23 = 689.00/x
  3. Step 3: Cross multiply
    2,332.41x = 3,499.23 × 689.00
  4. Step 4: Simplify right side
    2,332.41x = 2,410,951.97
  5. Step 5: Solve for x
    x = 2,410,951.97/2,332.41
  6. Step 6: Final answer
    x = 1,033.67

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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.