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Finding the Fourth Proportional to 3,230.28, 4,457.70 and 1,833

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Solution

The fourth proportional to 3,230.28, 4,457.70 and 1,833 is: 2,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.28 : 4,457.70 = 1,833 : x
  2. Step 2: Convert to fraction form
    3,230.28/4,457.70 = 1,833/x
  3. Step 3: Cross multiply
    3,230.28x = 4,457.70 × 1,833
  4. Step 4: Simplify right side
    3,230.28x = 8,170,964.10
  5. Step 5: Solve for x
    x = 8,170,964.10/3,230.28
  6. Step 6: Final answer
    x = 2,529.49

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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.