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Finding the Fourth Proportional to 2,414.96, 3,333 and 1,530.85

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Solution

The fourth proportional to 2,414.96, 3,333 and 1,530.85 is: 2,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.96 : 3,333 = 1,530.85 : x
  2. Step 2: Convert to fraction form
    2,414.96/3,333 = 1,530.85/x
  3. Step 3: Cross multiply
    2,414.96x = 3,333 × 1,530.85
  4. Step 4: Simplify right side
    2,414.96x = 5,102,323.05
  5. Step 5: Solve for x
    x = 5,102,323.05/2,414.96
  6. Step 6: Final answer
    x = 2,112.80

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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.