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Finding the Fourth Proportional to 2,510.42, 3,765.94 and 2,372.22

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Solution

The fourth proportional to 2,510.42, 3,765.94 and 2,372.22 is: 3,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.42 : 3,765.94 = 2,372.22 : x
  2. Step 2: Convert to fraction form
    2,510.42/3,765.94 = 2,372.22/x
  3. Step 3: Cross multiply
    2,510.42x = 3,765.94 × 2,372.22
  4. Step 4: Simplify right side
    2,510.42x = 8,933,632.26
  5. Step 5: Solve for x
    x = 8,933,632.26/2,510.42
  6. Step 6: Final answer
    x = 3,558.62

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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.