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Finding the Fourth Proportional to 1,950.13, 2,689.40 and 1,524.81

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Solution

The fourth proportional to 1,950.13, 2,689.40 and 1,524.81 is: 2,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.13 : 2,689.40 = 1,524.81 : x
  2. Step 2: Convert to fraction form
    1,950.13/2,689.40 = 1,524.81/x
  3. Step 3: Cross multiply
    1,950.13x = 2,689.40 × 1,524.81
  4. Step 4: Simplify right side
    1,950.13x = 4,100,824.01
  5. Step 5: Solve for x
    x = 4,100,824.01/1,950.13
  6. Step 6: Final answer
    x = 2,102.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.