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Finding the Fourth Proportional to 2,652.15, 3,657.88 and 1,855.21

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Solution

The fourth proportional to 2,652.15, 3,657.88 and 1,855.21 is: 2,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.15 : 3,657.88 = 1,855.21 : x
  2. Step 2: Convert to fraction form
    2,652.15/3,657.88 = 1,855.21/x
  3. Step 3: Cross multiply
    2,652.15x = 3,657.88 × 1,855.21
  4. Step 4: Simplify right side
    2,652.15x = 6,786,135.55
  5. Step 5: Solve for x
    x = 6,786,135.55/2,652.15
  6. Step 6: Final answer
    x = 2,558.73

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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.