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Finding the Fourth Proportional to 2,555.81, 3,834.03 and 912.53

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Solution

The fourth proportional to 2,555.81, 3,834.03 and 912.53 is: 1,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.81 : 3,834.03 = 912.53 : x
  2. Step 2: Convert to fraction form
    2,555.81/3,834.03 = 912.53/x
  3. Step 3: Cross multiply
    2,555.81x = 3,834.03 × 912.53
  4. Step 4: Simplify right side
    2,555.81x = 3,498,667.40
  5. Step 5: Solve for x
    x = 3,498,667.40/2,555.81
  6. Step 6: Final answer
    x = 1,368.91

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