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Finding the Fourth Proportional to 2,567.96, 3,850.51 and 1,642.94

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Solution

The fourth proportional to 2,567.96, 3,850.51 and 1,642.94 is: 2,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.96 : 3,850.51 = 1,642.94 : x
  2. Step 2: Convert to fraction form
    2,567.96/3,850.51 = 1,642.94/x
  3. Step 3: Cross multiply
    2,567.96x = 3,850.51 × 1,642.94
  4. Step 4: Simplify right side
    2,567.96x = 6,326,156.90
  5. Step 5: Solve for x
    x = 6,326,156.90/2,567.96
  6. Step 6: Final answer
    x = 2,463.50

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1.5x scale

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.