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Finding the Fourth Proportional to 2,631.34, 3,944.58 and 899.56

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Solution

The fourth proportional to 2,631.34, 3,944.58 and 899.56 is: 1,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.34 : 3,944.58 = 899.56 : x
  2. Step 2: Convert to fraction form
    2,631.34/3,944.58 = 899.56/x
  3. Step 3: Cross multiply
    2,631.34x = 3,944.58 × 899.56
  4. Step 4: Simplify right side
    2,631.34x = 3,548,386.38
  5. Step 5: Solve for x
    x = 3,548,386.38/2,631.34
  6. Step 6: Final answer
    x = 1,348.51

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Why These Related Problems?

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