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Finding the Fourth Proportional to 2,705.49, 3,734.28 and 1,658.43

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Solution

The fourth proportional to 2,705.49, 3,734.28 and 1,658.43 is: 2,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.49 : 3,734.28 = 1,658.43 : x
  2. Step 2: Convert to fraction form
    2,705.49/3,734.28 = 1,658.43/x
  3. Step 3: Cross multiply
    2,705.49x = 3,734.28 × 1,658.43
  4. Step 4: Simplify right side
    2,705.49x = 6,193,041.98
  5. Step 5: Solve for x
    x = 6,193,041.98/2,705.49
  6. Step 6: Final answer
    x = 2,289.06

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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.