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Finding the Fourth Proportional to 2,310.10, 3,462.90 and 1,321.90

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Solution

The fourth proportional to 2,310.10, 3,462.90 and 1,321.90 is: 1,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.10 : 3,462.90 = 1,321.90 : x
  2. Step 2: Convert to fraction form
    2,310.10/3,462.90 = 1,321.90/x
  3. Step 3: Cross multiply
    2,310.10x = 3,462.90 × 1,321.90
  4. Step 4: Simplify right side
    2,310.10x = 4,577,607.51
  5. Step 5: Solve for x
    x = 4,577,607.51/2,310.10
  6. Step 6: Final answer
    x = 1,981.56

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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.