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Finding the Fourth Proportional to 2,567.84, 3,849.33 and 835.25

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Solution

The fourth proportional to 2,567.84, 3,849.33 and 835.25 is: 1,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.84 : 3,849.33 = 835.25 : x
  2. Step 2: Convert to fraction form
    2,567.84/3,849.33 = 835.25/x
  3. Step 3: Cross multiply
    2,567.84x = 3,849.33 × 835.25
  4. Step 4: Simplify right side
    2,567.84x = 3,215,152.88
  5. Step 5: Solve for x
    x = 3,215,152.88/2,567.84
  6. Step 6: Final answer
    x = 1,252.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.