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Finding the Fourth Proportional to 2,555.32, 3,833.69 and 912.03

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Solution

The fourth proportional to 2,555.32, 3,833.69 and 912.03 is: 1,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.32 : 3,833.69 = 912.03 : x
  2. Step 2: Convert to fraction form
    2,555.32/3,833.69 = 912.03/x
  3. Step 3: Cross multiply
    2,555.32x = 3,833.69 × 912.03
  4. Step 4: Simplify right side
    2,555.32x = 3,496,440.29
  5. Step 5: Solve for x
    x = 3,496,440.29/2,555.32
  6. Step 6: Final answer
    x = 1,368.30

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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.