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Finding the Fourth Proportional to 2,311.32, 3,464.00 and 2,013.63

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Solution

The fourth proportional to 2,311.32, 3,464.00 and 2,013.63 is: 3,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.32 : 3,464.00 = 2,013.63 : x
  2. Step 2: Convert to fraction form
    2,311.32/3,464.00 = 2,013.63/x
  3. Step 3: Cross multiply
    2,311.32x = 3,464.00 × 2,013.63
  4. Step 4: Simplify right side
    2,311.32x = 6,975,202.59
  5. Step 5: Solve for x
    x = 6,975,202.59/2,311.32
  6. Step 6: Final answer
    x = 3,017.84

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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.