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Finding the Fourth Proportional to 3,016.40, 4,523.90 and 1,349.64

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Solution

The fourth proportional to 3,016.40, 4,523.90 and 1,349.64 is: 2,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.40 : 4,523.90 = 1,349.64 : x
  2. Step 2: Convert to fraction form
    3,016.40/4,523.90 = 1,349.64/x
  3. Step 3: Cross multiply
    3,016.40x = 4,523.90 × 1,349.64
  4. Step 4: Simplify right side
    3,016.40x = 6,105,637.24
  5. Step 5: Solve for x
    x = 6,105,637.24/3,016.40
  6. Step 6: Final answer
    x = 2,024.15

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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.