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Finding the Fourth Proportional to 2,083.62, 3,124.52 and 1,109.50

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Solution

The fourth proportional to 2,083.62, 3,124.52 and 1,109.50 is: 1,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.62 : 3,124.52 = 1,109.50 : x
  2. Step 2: Convert to fraction form
    2,083.62/3,124.52 = 1,109.50/x
  3. Step 3: Cross multiply
    2,083.62x = 3,124.52 × 1,109.50
  4. Step 4: Simplify right side
    2,083.62x = 3,466,654.94
  5. Step 5: Solve for x
    x = 3,466,654.94/2,083.62
  6. Step 6: Final answer
    x = 1,663.77

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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.