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Finding the Fourth Proportional to 2,730, 4,092.66 and 1,169.94

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Solution

The fourth proportional to 2,730, 4,092.66 and 1,169.94 is: 1,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730 : 4,092.66 = 1,169.94 : x
  2. Step 2: Convert to fraction form
    2,730/4,092.66 = 1,169.94/x
  3. Step 3: Cross multiply
    2,730x = 4,092.66 × 1,169.94
  4. Step 4: Simplify right side
    2,730x = 4,788,166.64
  5. Step 5: Solve for x
    x = 4,788,166.64/2,730
  6. Step 6: Final answer
    x = 1,753.91

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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.