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Finding the Fourth Proportional to 1,925.98, 2,889.33 and 771.82

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Solution

The fourth proportional to 1,925.98, 2,889.33 and 771.82 is: 1,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.98 : 2,889.33 = 771.82 : x
  2. Step 2: Convert to fraction form
    1,925.98/2,889.33 = 771.82/x
  3. Step 3: Cross multiply
    1,925.98x = 2,889.33 × 771.82
  4. Step 4: Simplify right side
    1,925.98x = 2,230,042.68
  5. Step 5: Solve for x
    x = 2,230,042.68/1,925.98
  6. Step 6: Final answer
    x = 1,157.87

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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.