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Finding the Fourth Proportional to 1,967.58, 2,950.76 and 872.87

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Solution

The fourth proportional to 1,967.58, 2,950.76 and 872.87 is: 1,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.58 : 2,950.76 = 872.87 : x
  2. Step 2: Convert to fraction form
    1,967.58/2,950.76 = 872.87/x
  3. Step 3: Cross multiply
    1,967.58x = 2,950.76 × 872.87
  4. Step 4: Simplify right side
    1,967.58x = 2,575,617.31
  5. Step 5: Solve for x
    x = 2,575,617.31/1,967.58
  6. Step 6: Final answer
    x = 1,309.03

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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.