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Finding the Fourth Proportional to 2,484.37, 3,727.13 and 729.34

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Solution

The fourth proportional to 2,484.37, 3,727.13 and 729.34 is: 1,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.37 : 3,727.13 = 729.34 : x
  2. Step 2: Convert to fraction form
    2,484.37/3,727.13 = 729.34/x
  3. Step 3: Cross multiply
    2,484.37x = 3,727.13 × 729.34
  4. Step 4: Simplify right side
    2,484.37x = 2,718,344.99
  5. Step 5: Solve for x
    x = 2,718,344.99/2,484.37
  6. Step 6: Final answer
    x = 1,094.18

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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.