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Finding the Fourth Proportional to 2,661.47, 3,672.83 and 1,527.18

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Solution

The fourth proportional to 2,661.47, 3,672.83 and 1,527.18 is: 2,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.47 : 3,672.83 = 1,527.18 : x
  2. Step 2: Convert to fraction form
    2,661.47/3,672.83 = 1,527.18/x
  3. Step 3: Cross multiply
    2,661.47x = 3,672.83 × 1,527.18
  4. Step 4: Simplify right side
    2,661.47x = 5,609,064.88
  5. Step 5: Solve for x
    x = 5,609,064.88/2,661.47
  6. Step 6: Final answer
    x = 2,107.51

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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.