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Finding the Fourth Proportional to 2,234.69, 3,084.51 and 1,350.56

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Solution

The fourth proportional to 2,234.69, 3,084.51 and 1,350.56 is: 1,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.69 : 3,084.51 = 1,350.56 : x
  2. Step 2: Convert to fraction form
    2,234.69/3,084.51 = 1,350.56/x
  3. Step 3: Cross multiply
    2,234.69x = 3,084.51 × 1,350.56
  4. Step 4: Simplify right side
    2,234.69x = 4,165,800.40
  5. Step 5: Solve for x
    x = 4,165,800.40/2,234.69
  6. Step 6: Final answer
    x = 1,864.16

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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.