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Finding the Fourth Proportional to 2,548.46, 3,820.97 and 882.16

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Solution

The fourth proportional to 2,548.46, 3,820.97 and 882.16 is: 1,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.46 : 3,820.97 = 882.16 : x
  2. Step 2: Convert to fraction form
    2,548.46/3,820.97 = 882.16/x
  3. Step 3: Cross multiply
    2,548.46x = 3,820.97 × 882.16
  4. Step 4: Simplify right side
    2,548.46x = 3,370,699.55
  5. Step 5: Solve for x
    x = 3,370,699.55/2,548.46
  6. Step 6: Final answer
    x = 1,322.64

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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.