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Finding the Fourth Proportional to 2,510.09, 3,765.90 and 950.57

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Solution

The fourth proportional to 2,510.09, 3,765.90 and 950.57 is: 1,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.09 : 3,765.90 = 950.57 : x
  2. Step 2: Convert to fraction form
    2,510.09/3,765.90 = 950.57/x
  3. Step 3: Cross multiply
    2,510.09x = 3,765.90 × 950.57
  4. Step 4: Simplify right side
    2,510.09x = 3,579,751.56
  5. Step 5: Solve for x
    x = 3,579,751.56/2,510.09
  6. Step 6: Final answer
    x = 1,426.14

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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.