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Finding the Fourth Proportional to 2,655.47, 3,664.73 and 1,772.75

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Solution

The fourth proportional to 2,655.47, 3,664.73 and 1,772.75 is: 2,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.47 : 3,664.73 = 1,772.75 : x
  2. Step 2: Convert to fraction form
    2,655.47/3,664.73 = 1,772.75/x
  3. Step 3: Cross multiply
    2,655.47x = 3,664.73 × 1,772.75
  4. Step 4: Simplify right side
    2,655.47x = 6,496,650.11
  5. Step 5: Solve for x
    x = 6,496,650.11/2,655.47
  6. Step 6: Final answer
    x = 2,446.52

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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.