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Finding the Fourth Proportional to 3,021.63, 4,532.45 and 830.69

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Solution

The fourth proportional to 3,021.63, 4,532.45 and 830.69 is: 1,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.63 : 4,532.45 = 830.69 : x
  2. Step 2: Convert to fraction form
    3,021.63/4,532.45 = 830.69/x
  3. Step 3: Cross multiply
    3,021.63x = 4,532.45 × 830.69
  4. Step 4: Simplify right side
    3,021.63x = 3,765,060.89
  5. Step 5: Solve for x
    x = 3,765,060.89/3,021.63
  6. Step 6: Final answer
    x = 1,246.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.