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Finding the Fourth Proportional to 2,959.68, 4,084.85 and 1,764.82

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Solution

The fourth proportional to 2,959.68, 4,084.85 and 1,764.82 is: 2,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.68 : 4,084.85 = 1,764.82 : x
  2. Step 2: Convert to fraction form
    2,959.68/4,084.85 = 1,764.82/x
  3. Step 3: Cross multiply
    2,959.68x = 4,084.85 × 1,764.82
  4. Step 4: Simplify right side
    2,959.68x = 7,209,024.98
  5. Step 5: Solve for x
    x = 7,209,024.98/2,959.68
  6. Step 6: Final answer
    x = 2,435.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.