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Finding the Fourth Proportional to 2,959.44, 4,439.15 and 1,661.82

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Solution

The fourth proportional to 2,959.44, 4,439.15 and 1,661.82 is: 2,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.44 : 4,439.15 = 1,661.82 : x
  2. Step 2: Convert to fraction form
    2,959.44/4,439.15 = 1,661.82/x
  3. Step 3: Cross multiply
    2,959.44x = 4,439.15 × 1,661.82
  4. Step 4: Simplify right side
    2,959.44x = 7,377,068.25
  5. Step 5: Solve for x
    x = 7,377,068.25/2,959.44
  6. Step 6: Final answer
    x = 2,492.72

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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.