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Finding the Fourth Proportional to 2,764.30, 3,818.48 and 2,567.48

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Solution

The fourth proportional to 2,764.30, 3,818.48 and 2,567.48 is: 3,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.30 : 3,818.48 = 2,567.48 : x
  2. Step 2: Convert to fraction form
    2,764.30/3,818.48 = 2,567.48/x
  3. Step 3: Cross multiply
    2,764.30x = 3,818.48 × 2,567.48
  4. Step 4: Simplify right side
    2,764.30x = 9,803,871.03
  5. Step 5: Solve for x
    x = 9,803,871.03/2,764.30
  6. Step 6: Final answer
    x = 3,546.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.