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Finding the Fourth Proportional to 2,654.02, 3,656.22 and 1,855.85

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Solution

The fourth proportional to 2,654.02, 3,656.22 and 1,855.85 is: 2,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.02 : 3,656.22 = 1,855.85 : x
  2. Step 2: Convert to fraction form
    2,654.02/3,656.22 = 1,855.85/x
  3. Step 3: Cross multiply
    2,654.02x = 3,656.22 × 1,855.85
  4. Step 4: Simplify right side
    2,654.02x = 6,785,409.60
  5. Step 5: Solve for x
    x = 6,785,409.60/2,654.02
  6. Step 6: Final answer
    x = 2,556.65

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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.