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Finding the Fourth Proportional to 2,842.45, 4,262.64 and 993.04

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Solution

The fourth proportional to 2,842.45, 4,262.64 and 993.04 is: 1,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.45 : 4,262.64 = 993.04 : x
  2. Step 2: Convert to fraction form
    2,842.45/4,262.64 = 993.04/x
  3. Step 3: Cross multiply
    2,842.45x = 4,262.64 × 993.04
  4. Step 4: Simplify right side
    2,842.45x = 4,232,972.03
  5. Step 5: Solve for x
    x = 4,232,972.03/2,842.45
  6. Step 6: Final answer
    x = 1,489.20

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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.