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Finding the Fourth Proportional to 3,238.34, 4,857.54 and 929.84

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Solution

The fourth proportional to 3,238.34, 4,857.54 and 929.84 is: 1,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.34 : 4,857.54 = 929.84 : x
  2. Step 2: Convert to fraction form
    3,238.34/4,857.54 = 929.84/x
  3. Step 3: Cross multiply
    3,238.34x = 4,857.54 × 929.84
  4. Step 4: Simplify right side
    3,238.34x = 4,516,734.99
  5. Step 5: Solve for x
    x = 4,516,734.99/3,238.34
  6. Step 6: Final answer
    x = 1,394.77

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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.