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Finding the Fourth Proportional to 2,892.30, 4,337.97 and 944.02

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Solution

The fourth proportional to 2,892.30, 4,337.97 and 944.02 is: 1,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.30 : 4,337.97 = 944.02 : x
  2. Step 2: Convert to fraction form
    2,892.30/4,337.97 = 944.02/x
  3. Step 3: Cross multiply
    2,892.30x = 4,337.97 × 944.02
  4. Step 4: Simplify right side
    2,892.30x = 4,095,130.44
  5. Step 5: Solve for x
    x = 4,095,130.44/2,892.30
  6. Step 6: Final answer
    x = 1,415.87

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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.