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Finding the Fourth Proportional to 2,813.46, 3,881.72 and 1,634.30

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Solution

The fourth proportional to 2,813.46, 3,881.72 and 1,634.30 is: 2,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.46 : 3,881.72 = 1,634.30 : x
  2. Step 2: Convert to fraction form
    2,813.46/3,881.72 = 1,634.30/x
  3. Step 3: Cross multiply
    2,813.46x = 3,881.72 × 1,634.30
  4. Step 4: Simplify right side
    2,813.46x = 6,343,895.00
  5. Step 5: Solve for x
    x = 6,343,895.00/2,813.46
  6. Step 6: Final answer
    x = 2,254.84

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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.