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Finding the Fourth Proportional to 2,567.94, 3,855.10 and 1,792.87

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Solution

The fourth proportional to 2,567.94, 3,855.10 and 1,792.87 is: 2,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.94 : 3,855.10 = 1,792.87 : x
  2. Step 2: Convert to fraction form
    2,567.94/3,855.10 = 1,792.87/x
  3. Step 3: Cross multiply
    2,567.94x = 3,855.10 × 1,792.87
  4. Step 4: Simplify right side
    2,567.94x = 6,911,693.14
  5. Step 5: Solve for x
    x = 6,911,693.14/2,567.94
  6. Step 6: Final answer
    x = 2,691.53

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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.