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Finding the Fourth Proportional to 2,310.54, 3,463.05 and 1,214.34

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Solution

The fourth proportional to 2,310.54, 3,463.05 and 1,214.34 is: 1,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.54 : 3,463.05 = 1,214.34 : x
  2. Step 2: Convert to fraction form
    2,310.54/3,463.05 = 1,214.34/x
  3. Step 3: Cross multiply
    2,310.54x = 3,463.05 × 1,214.34
  4. Step 4: Simplify right side
    2,310.54x = 4,205,320.14
  5. Step 5: Solve for x
    x = 4,205,320.14/2,310.54
  6. Step 6: Final answer
    x = 1,820.06

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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.