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Finding the Fourth Proportional to 2,372.14, 3,558.36 and 728.70

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Solution

The fourth proportional to 2,372.14, 3,558.36 and 728.70 is: 1,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.14 : 3,558.36 = 728.70 : x
  2. Step 2: Convert to fraction form
    2,372.14/3,558.36 = 728.70/x
  3. Step 3: Cross multiply
    2,372.14x = 3,558.36 × 728.70
  4. Step 4: Simplify right side
    2,372.14x = 2,592,976.93
  5. Step 5: Solve for x
    x = 2,592,976.93/2,372.14
  6. Step 6: Final answer
    x = 1,093.10

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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.