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Finding the Fourth Proportional to 3,230.64, 4,459.76 and 2,484.34

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Solution

The fourth proportional to 3,230.64, 4,459.76 and 2,484.34 is: 3,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.64 : 4,459.76 = 2,484.34 : x
  2. Step 2: Convert to fraction form
    3,230.64/4,459.76 = 2,484.34/x
  3. Step 3: Cross multiply
    3,230.64x = 4,459.76 × 2,484.34
  4. Step 4: Simplify right side
    3,230.64x = 11,079,545.90
  5. Step 5: Solve for x
    x = 11,079,545.90/3,230.64
  6. Step 6: Final answer
    x = 3,429.52

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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.