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Finding the Fourth Proportional to 1,959.62, 2,701.25 and 1,461.50

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Solution

The fourth proportional to 1,959.62, 2,701.25 and 1,461.50 is: 2,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.62 : 2,701.25 = 1,461.50 : x
  2. Step 2: Convert to fraction form
    1,959.62/2,701.25 = 1,461.50/x
  3. Step 3: Cross multiply
    1,959.62x = 2,701.25 × 1,461.50
  4. Step 4: Simplify right side
    1,959.62x = 3,947,876.88
  5. Step 5: Solve for x
    x = 3,947,876.88/1,959.62
  6. Step 6: Final answer
    x = 2,014.61

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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.