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Finding the Fourth Proportional to 1,509.26, 2,082.96 and 919.88

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Solution

The fourth proportional to 1,509.26, 2,082.96 and 919.88 is: 1,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.26 : 2,082.96 = 919.88 : x
  2. Step 2: Convert to fraction form
    1,509.26/2,082.96 = 919.88/x
  3. Step 3: Cross multiply
    1,509.26x = 2,082.96 × 919.88
  4. Step 4: Simplify right side
    1,509.26x = 1,916,073.24
  5. Step 5: Solve for x
    x = 1,916,073.24/1,509.26
  6. Step 6: Final answer
    x = 1,269.54

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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.