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Finding the Fourth Proportional to 2,510.11, 3,765.21 and 950.84

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Solution

The fourth proportional to 2,510.11, 3,765.21 and 950.84 is: 1,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.11 : 3,765.21 = 950.84 : x
  2. Step 2: Convert to fraction form
    2,510.11/3,765.21 = 950.84/x
  3. Step 3: Cross multiply
    2,510.11x = 3,765.21 × 950.84
  4. Step 4: Simplify right side
    2,510.11x = 3,580,106.68
  5. Step 5: Solve for x
    x = 3,580,106.68/2,510.11
  6. Step 6: Final answer
    x = 1,426.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.