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Finding the Fourth Proportional to 2,435.48, 3,650.34 and 1,460.96

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Solution

The fourth proportional to 2,435.48, 3,650.34 and 1,460.96 is: 2,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.48 : 3,650.34 = 1,460.96 : x
  2. Step 2: Convert to fraction form
    2,435.48/3,650.34 = 1,460.96/x
  3. Step 3: Cross multiply
    2,435.48x = 3,650.34 × 1,460.96
  4. Step 4: Simplify right side
    2,435.48x = 5,333,000.73
  5. Step 5: Solve for x
    x = 5,333,000.73/2,435.48
  6. Step 6: Final answer
    x = 2,189.71

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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.