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Finding the Fourth Proportional to 1,705.08, 2,354.70 and 1,608.12

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Solution

The fourth proportional to 1,705.08, 2,354.70 and 1,608.12 is: 2,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.08 : 2,354.70 = 1,608.12 : x
  2. Step 2: Convert to fraction form
    1,705.08/2,354.70 = 1,608.12/x
  3. Step 3: Cross multiply
    1,705.08x = 2,354.70 × 1,608.12
  4. Step 4: Simplify right side
    1,705.08x = 3,786,640.16
  5. Step 5: Solve for x
    x = 3,786,640.16/1,705.08
  6. Step 6: Final answer
    x = 2,220.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.