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Finding the Fourth Proportional to 2,688.50, 4,032.48 and 1,959.50

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Solution

The fourth proportional to 2,688.50, 4,032.48 and 1,959.50 is: 2,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.50 : 4,032.48 = 1,959.50 : x
  2. Step 2: Convert to fraction form
    2,688.50/4,032.48 = 1,959.50/x
  3. Step 3: Cross multiply
    2,688.50x = 4,032.48 × 1,959.50
  4. Step 4: Simplify right side
    2,688.50x = 7,901,644.56
  5. Step 5: Solve for x
    x = 7,901,644.56/2,688.50
  6. Step 6: Final answer
    x = 2,939.05

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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.