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Finding the Fourth Proportional to 2,405.20, 3,607.96 and 673.76

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Solution

The fourth proportional to 2,405.20, 3,607.96 and 673.76 is: 1,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.20 : 3,607.96 = 673.76 : x
  2. Step 2: Convert to fraction form
    2,405.20/3,607.96 = 673.76/x
  3. Step 3: Cross multiply
    2,405.20x = 3,607.96 × 673.76
  4. Step 4: Simplify right side
    2,405.20x = 2,430,899.13
  5. Step 5: Solve for x
    x = 2,430,899.13/2,405.20
  6. Step 6: Final answer
    x = 1,010.68

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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.