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Finding the Fourth Proportional to 4,829.40, 7,244.24 and 1,708.97

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Solution

The fourth proportional to 4,829.40, 7,244.24 and 1,708.97 is: 2,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.40 : 7,244.24 = 1,708.97 : x
  2. Step 2: Convert to fraction form
    4,829.40/7,244.24 = 1,708.97/x
  3. Step 3: Cross multiply
    4,829.40x = 7,244.24 × 1,708.97
  4. Step 4: Simplify right side
    4,829.40x = 12,380,144.07
  5. Step 5: Solve for x
    x = 12,380,144.07/4,829.40
  6. Step 6: Final answer
    x = 2,563.50

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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.