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Finding the Fourth Proportional to 2,766.45, 3,817.29 and 1,587.30

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Solution

The fourth proportional to 2,766.45, 3,817.29 and 1,587.30 is: 2,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.45 : 3,817.29 = 1,587.30 : x
  2. Step 2: Convert to fraction form
    2,766.45/3,817.29 = 1,587.30/x
  3. Step 3: Cross multiply
    2,766.45x = 3,817.29 × 1,587.30
  4. Step 4: Simplify right side
    2,766.45x = 6,059,176.05
  5. Step 5: Solve for x
    x = 6,059,176.05/2,766.45
  6. Step 6: Final answer
    x = 2,190.23

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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.