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Finding the Fourth Proportional to 1,846.77, 2,768.32 and 750.44

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Solution

The fourth proportional to 1,846.77, 2,768.32 and 750.44 is: 1,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.77 : 2,768.32 = 750.44 : x
  2. Step 2: Convert to fraction form
    1,846.77/2,768.32 = 750.44/x
  3. Step 3: Cross multiply
    1,846.77x = 2,768.32 × 750.44
  4. Step 4: Simplify right side
    1,846.77x = 2,077,458.06
  5. Step 5: Solve for x
    x = 2,077,458.06/1,846.77
  6. Step 6: Final answer
    x = 1,124.91

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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.