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Finding the Fourth Proportional to 2,372.89, 3,559.48 and 729.46

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Solution

The fourth proportional to 2,372.89, 3,559.48 and 729.46 is: 1,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.89 : 3,559.48 = 729.46 : x
  2. Step 2: Convert to fraction form
    2,372.89/3,559.48 = 729.46/x
  3. Step 3: Cross multiply
    2,372.89x = 3,559.48 × 729.46
  4. Step 4: Simplify right side
    2,372.89x = 2,596,498.28
  5. Step 5: Solve for x
    x = 2,596,498.28/2,372.89
  6. Step 6: Final answer
    x = 1,094.23

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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.