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Finding the Fourth Proportional to 2,842, 4,263.24 and 790

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Solution

The fourth proportional to 2,842, 4,263.24 and 790 is: 1,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 4,263.24 = 790 : x
  2. Step 2: Convert to fraction form
    2,842/4,263.24 = 790/x
  3. Step 3: Cross multiply
    2,842x = 4,263.24 × 790
  4. Step 4: Simplify right side
    2,842x = 3,367,959.60
  5. Step 5: Solve for x
    x = 3,367,959.60/2,842
  6. Step 6: Final answer
    x = 1,185.07

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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.