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Finding the Fourth Proportional to 2,567.82, 3,851.75 and 836.45

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Solution

The fourth proportional to 2,567.82, 3,851.75 and 836.45 is: 1,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.82 : 3,851.75 = 836.45 : x
  2. Step 2: Convert to fraction form
    2,567.82/3,851.75 = 836.45/x
  3. Step 3: Cross multiply
    2,567.82x = 3,851.75 × 836.45
  4. Step 4: Simplify right side
    2,567.82x = 3,221,772.85
  5. Step 5: Solve for x
    x = 3,221,772.85/2,567.82
  6. Step 6: Final answer
    x = 1,254.67

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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.