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Finding the Fourth Proportional to 3,310.30, 4,560.50 and 2,314.00

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Solution

The fourth proportional to 3,310.30, 4,560.50 and 2,314.00 is: 3,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.30 : 4,560.50 = 2,314.00 : x
  2. Step 2: Convert to fraction form
    3,310.30/4,560.50 = 2,314.00/x
  3. Step 3: Cross multiply
    3,310.30x = 4,560.50 × 2,314.00
  4. Step 4: Simplify right side
    3,310.30x = 10,552,962.63
  5. Step 5: Solve for x
    x = 10,552,962.63/3,310.30
  6. Step 6: Final answer
    x = 3,187.92

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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.