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Finding the Fourth Proportional to 2,842.82, 4,262.79 and 1,302.50

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Solution

The fourth proportional to 2,842.82, 4,262.79 and 1,302.50 is: 1,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.82 : 4,262.79 = 1,302.50 : x
  2. Step 2: Convert to fraction form
    2,842.82/4,262.79 = 1,302.50/x
  3. Step 3: Cross multiply
    2,842.82x = 4,262.79 × 1,302.50
  4. Step 4: Simplify right side
    2,842.82x = 5,552,283.98
  5. Step 5: Solve for x
    x = 5,552,283.98/2,842.82
  6. Step 6: Final answer
    x = 1,953.09

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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.