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Finding the Fourth Proportional to 2,774.64, 4,168.77 and 2,665.29

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Solution

The fourth proportional to 2,774.64, 4,168.77 and 2,665.29 is: 4,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.64 : 4,168.77 = 2,665.29 : x
  2. Step 2: Convert to fraction form
    2,774.64/4,168.77 = 2,665.29/x
  3. Step 3: Cross multiply
    2,774.64x = 4,168.77 × 2,665.29
  4. Step 4: Simplify right side
    2,774.64x = 11,110,980.99
  5. Step 5: Solve for x
    x = 11,110,980.99/2,774.64
  6. Step 6: Final answer
    x = 4,004.48

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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.