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Finding the Fourth Proportional to 2,702.90, 4,066.67 and 1,608.05

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Solution

The fourth proportional to 2,702.90, 4,066.67 and 1,608.05 is: 2,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.90 : 4,066.67 = 1,608.05 : x
  2. Step 2: Convert to fraction form
    2,702.90/4,066.67 = 1,608.05/x
  3. Step 3: Cross multiply
    2,702.90x = 4,066.67 × 1,608.05
  4. Step 4: Simplify right side
    2,702.90x = 6,539,422.88
  5. Step 5: Solve for x
    x = 6,539,422.88/2,702.90
  6. Step 6: Final answer
    x = 2,419.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.