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Finding the Fourth Proportional to 2,299.83, 3,174.67 and 1,460.99

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Solution

The fourth proportional to 2,299.83, 3,174.67 and 1,460.99 is: 2,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.83 : 3,174.67 = 1,460.99 : x
  2. Step 2: Convert to fraction form
    2,299.83/3,174.67 = 1,460.99/x
  3. Step 3: Cross multiply
    2,299.83x = 3,174.67 × 1,460.99
  4. Step 4: Simplify right side
    2,299.83x = 4,638,170.89
  5. Step 5: Solve for x
    x = 4,638,170.89/2,299.83
  6. Step 6: Final answer
    x = 2,016.75

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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.