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Finding the Fourth Proportional to 2,899.28, 4,349.60 and 951.60

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Solution

The fourth proportional to 2,899.28, 4,349.60 and 951.60 is: 1,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.28 : 4,349.60 = 951.60 : x
  2. Step 2: Convert to fraction form
    2,899.28/4,349.60 = 951.60/x
  3. Step 3: Cross multiply
    2,899.28x = 4,349.60 × 951.60
  4. Step 4: Simplify right side
    2,899.28x = 4,139,079.36
  5. Step 5: Solve for x
    x = 4,139,079.36/2,899.28
  6. Step 6: Final answer
    x = 1,427.62

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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.