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Finding the Fourth Proportional to 3,242.61, 4,472.39 and 2,234.64

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Solution

The fourth proportional to 3,242.61, 4,472.39 and 2,234.64 is: 3,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.61 : 4,472.39 = 2,234.64 : x
  2. Step 2: Convert to fraction form
    3,242.61/4,472.39 = 2,234.64/x
  3. Step 3: Cross multiply
    3,242.61x = 4,472.39 × 2,234.64
  4. Step 4: Simplify right side
    3,242.61x = 9,994,172.51
  5. Step 5: Solve for x
    x = 9,994,172.51/3,242.61
  6. Step 6: Final answer
    x = 3,082.14

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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.