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Finding the Fourth Proportional to 1,627.05, 2,245.30 and 881.00

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Solution

The fourth proportional to 1,627.05, 2,245.30 and 881.00 is: 1,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.05 : 2,245.30 = 881.00 : x
  2. Step 2: Convert to fraction form
    1,627.05/2,245.30 = 881.00/x
  3. Step 3: Cross multiply
    1,627.05x = 2,245.30 × 881.00
  4. Step 4: Simplify right side
    1,627.05x = 1,978,116.01
  5. Step 5: Solve for x
    x = 1,978,116.01/1,627.05
  6. Step 6: Final answer
    x = 1,215.77

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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.