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Finding the Fourth Proportional to 2,567.86, 3,849.16 and 1,950.26

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Solution

The fourth proportional to 2,567.86, 3,849.16 and 1,950.26 is: 2,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.86 : 3,849.16 = 1,950.26 : x
  2. Step 2: Convert to fraction form
    2,567.86/3,849.16 = 1,950.26/x
  3. Step 3: Cross multiply
    2,567.86x = 3,849.16 × 1,950.26
  4. Step 4: Simplify right side
    2,567.86x = 7,506,862.78
  5. Step 5: Solve for x
    x = 7,506,862.78/2,567.86
  6. Step 6: Final answer
    x = 2,923.39

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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.