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Finding the Fourth Proportional to 1,951.92, 2,927.88 and 1,083.60

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Solution

The fourth proportional to 1,951.92, 2,927.88 and 1,083.60 is: 1,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.92 : 2,927.88 = 1,083.60 : x
  2. Step 2: Convert to fraction form
    1,951.92/2,927.88 = 1,083.60/x
  3. Step 3: Cross multiply
    1,951.92x = 2,927.88 × 1,083.60
  4. Step 4: Simplify right side
    1,951.92x = 3,172,650.77
  5. Step 5: Solve for x
    x = 3,172,650.77/1,951.92
  6. Step 6: Final answer
    x = 1,625.40

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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.