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Finding the Fourth Proportional to 3,083.96, 4,624.56 and 1,440.99

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Solution

The fourth proportional to 3,083.96, 4,624.56 and 1,440.99 is: 2,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.96 : 4,624.56 = 1,440.99 : x
  2. Step 2: Convert to fraction form
    3,083.96/4,624.56 = 1,440.99/x
  3. Step 3: Cross multiply
    3,083.96x = 4,624.56 × 1,440.99
  4. Step 4: Simplify right side
    3,083.96x = 6,663,944.71
  5. Step 5: Solve for x
    x = 6,663,944.71/3,083.96
  6. Step 6: Final answer
    x = 2,160.84

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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.