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Finding the Fourth Proportional to 2,443.54, 3,665.43 and 777.83

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Solution

The fourth proportional to 2,443.54, 3,665.43 and 777.83 is: 1,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.54 : 3,665.43 = 777.83 : x
  2. Step 2: Convert to fraction form
    2,443.54/3,665.43 = 777.83/x
  3. Step 3: Cross multiply
    2,443.54x = 3,665.43 × 777.83
  4. Step 4: Simplify right side
    2,443.54x = 2,851,077.53
  5. Step 5: Solve for x
    x = 2,851,077.53/2,443.54
  6. Step 6: Final answer
    x = 1,166.78

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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.