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Finding the Fourth Proportional to 2,631.42, 3,945.93 and 899.34

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Solution

The fourth proportional to 2,631.42, 3,945.93 and 899.34 is: 1,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.42 : 3,945.93 = 899.34 : x
  2. Step 2: Convert to fraction form
    2,631.42/3,945.93 = 899.34/x
  3. Step 3: Cross multiply
    2,631.42x = 3,945.93 × 899.34
  4. Step 4: Simplify right side
    2,631.42x = 3,548,732.69
  5. Step 5: Solve for x
    x = 3,548,732.69/2,631.42
  6. Step 6: Final answer
    x = 1,348.60

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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.