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Finding the Fourth Proportional to 2,842.32, 4,263.50 and 1,197.82

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Solution

The fourth proportional to 2,842.32, 4,263.50 and 1,197.82 is: 1,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.32 : 4,263.50 = 1,197.82 : x
  2. Step 2: Convert to fraction form
    2,842.32/4,263.50 = 1,197.82/x
  3. Step 3: Cross multiply
    2,842.32x = 4,263.50 × 1,197.82
  4. Step 4: Simplify right side
    2,842.32x = 5,106,913.89
  5. Step 5: Solve for x
    x = 5,106,913.89/2,842.32
  6. Step 6: Final answer
    x = 1,796.74

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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.