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Finding the Fourth Proportional to 2,655.65, 3,664.68 and 1,771.33

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Solution

The fourth proportional to 2,655.65, 3,664.68 and 1,771.33 is: 2,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.65 : 3,664.68 = 1,771.33 : x
  2. Step 2: Convert to fraction form
    2,655.65/3,664.68 = 1,771.33/x
  3. Step 3: Cross multiply
    2,655.65x = 3,664.68 × 1,771.33
  4. Step 4: Simplify right side
    2,655.65x = 6,491,348.77
  5. Step 5: Solve for x
    x = 6,491,348.77/2,655.65
  6. Step 6: Final answer
    x = 2,444.36

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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.