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Finding the Fourth Proportional to 2,842.90, 4,265.10 and 994.01

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Solution

The fourth proportional to 2,842.90, 4,265.10 and 994.01 is: 1,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.90 : 4,265.10 = 994.01 : x
  2. Step 2: Convert to fraction form
    2,842.90/4,265.10 = 994.01/x
  3. Step 3: Cross multiply
    2,842.90x = 4,265.10 × 994.01
  4. Step 4: Simplify right side
    2,842.90x = 4,239,552.05
  5. Step 5: Solve for x
    x = 4,239,552.05/2,842.90
  6. Step 6: Final answer
    x = 1,491.28

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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.