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Finding the Fourth Proportional to 3,229.74, 4,457.70 and 1,832.76

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Solution

The fourth proportional to 3,229.74, 4,457.70 and 1,832.76 is: 2,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.74 : 4,457.70 = 1,832.76 : x
  2. Step 2: Convert to fraction form
    3,229.74/4,457.70 = 1,832.76/x
  3. Step 3: Cross multiply
    3,229.74x = 4,457.70 × 1,832.76
  4. Step 4: Simplify right side
    3,229.74x = 8,169,894.25
  5. Step 5: Solve for x
    x = 8,169,894.25/3,229.74
  6. Step 6: Final answer
    x = 2,529.58

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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.