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Finding the Fourth Proportional to 2,367.87, 3,266.22 and 1,527.22

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Solution

The fourth proportional to 2,367.87, 3,266.22 and 1,527.22 is: 2,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.87 : 3,266.22 = 1,527.22 : x
  2. Step 2: Convert to fraction form
    2,367.87/3,266.22 = 1,527.22/x
  3. Step 3: Cross multiply
    2,367.87x = 3,266.22 × 1,527.22
  4. Step 4: Simplify right side
    2,367.87x = 4,988,236.51
  5. Step 5: Solve for x
    x = 4,988,236.51/2,367.87
  6. Step 6: Final answer
    x = 2,106.63

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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.