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Finding the Fourth Proportional to 1,834.32, 2,527.09 and 1,500.81

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Solution

The fourth proportional to 1,834.32, 2,527.09 and 1,500.81 is: 2,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.32 : 2,527.09 = 1,500.81 : x
  2. Step 2: Convert to fraction form
    1,834.32/2,527.09 = 1,500.81/x
  3. Step 3: Cross multiply
    1,834.32x = 2,527.09 × 1,500.81
  4. Step 4: Simplify right side
    1,834.32x = 3,792,681.94
  5. Step 5: Solve for x
    x = 3,792,681.94/1,834.32
  6. Step 6: Final answer
    x = 2,067.62

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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.