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Finding the Fourth Proportional to 2,164.34, 3,245.70 and 1,707.50

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Solution

The fourth proportional to 2,164.34, 3,245.70 and 1,707.50 is: 2,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.34 : 3,245.70 = 1,707.50 : x
  2. Step 2: Convert to fraction form
    2,164.34/3,245.70 = 1,707.50/x
  3. Step 3: Cross multiply
    2,164.34x = 3,245.70 × 1,707.50
  4. Step 4: Simplify right side
    2,164.34x = 5,542,047.27
  5. Step 5: Solve for x
    x = 5,542,047.27/2,164.34
  6. Step 6: Final answer
    x = 2,560.61

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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.