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Finding the Fourth Proportional to 2,092.87, 2,888.19 and 1,254.04

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Solution

The fourth proportional to 2,092.87, 2,888.19 and 1,254.04 is: 1,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.87 : 2,888.19 = 1,254.04 : x
  2. Step 2: Convert to fraction form
    2,092.87/2,888.19 = 1,254.04/x
  3. Step 3: Cross multiply
    2,092.87x = 2,888.19 × 1,254.04
  4. Step 4: Simplify right side
    2,092.87x = 3,621,905.79
  5. Step 5: Solve for x
    x = 3,621,905.79/2,092.87
  6. Step 6: Final answer
    x = 1,730.59

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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.