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Finding the Fourth Proportional to 1,776.33, 2,662.56 and 737.01

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Solution

The fourth proportional to 1,776.33, 2,662.56 and 737.01 is: 1,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.33 : 2,662.56 = 737.01 : x
  2. Step 2: Convert to fraction form
    1,776.33/2,662.56 = 737.01/x
  3. Step 3: Cross multiply
    1,776.33x = 2,662.56 × 737.01
  4. Step 4: Simplify right side
    1,776.33x = 1,962,333.35
  5. Step 5: Solve for x
    x = 1,962,333.35/1,776.33
  6. Step 6: Final answer
    x = 1,104.71

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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.