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Finding the Fourth Proportional to 2,484.92, 3,728.32 and 753.56

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Solution

The fourth proportional to 2,484.92, 3,728.32 and 753.56 is: 1,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.92 : 3,728.32 = 753.56 : x
  2. Step 2: Convert to fraction form
    2,484.92/3,728.32 = 753.56/x
  3. Step 3: Cross multiply
    2,484.92x = 3,728.32 × 753.56
  4. Step 4: Simplify right side
    2,484.92x = 2,809,512.82
  5. Step 5: Solve for x
    x = 2,809,512.82/2,484.92
  6. Step 6: Final answer
    x = 1,130.63

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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.