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Finding the Fourth Proportional to 2,892.69, 4,339.44 and 944.51

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Solution

The fourth proportional to 2,892.69, 4,339.44 and 944.51 is: 1,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.69 : 4,339.44 = 944.51 : x
  2. Step 2: Convert to fraction form
    2,892.69/4,339.44 = 944.51/x
  3. Step 3: Cross multiply
    2,892.69x = 4,339.44 × 944.51
  4. Step 4: Simplify right side
    2,892.69x = 4,098,622.78
  5. Step 5: Solve for x
    x = 4,098,622.78/2,892.69
  6. Step 6: Final answer
    x = 1,416.89

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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.