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Finding the Fourth Proportional to 1,705.98, 2,354.88 and 1,659.13

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Solution

The fourth proportional to 1,705.98, 2,354.88 and 1,659.13 is: 2,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.98 : 2,354.88 = 1,659.13 : x
  2. Step 2: Convert to fraction form
    1,705.98/2,354.88 = 1,659.13/x
  3. Step 3: Cross multiply
    1,705.98x = 2,354.88 × 1,659.13
  4. Step 4: Simplify right side
    1,705.98x = 3,907,052.05
  5. Step 5: Solve for x
    x = 3,907,052.05/1,705.98
  6. Step 6: Final answer
    x = 2,290.21

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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.