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Finding the Fourth Proportional to 1,513.27, 2,269.09 and 969.36

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Solution

The fourth proportional to 1,513.27, 2,269.09 and 969.36 is: 1,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.27 : 2,269.09 = 969.36 : x
  2. Step 2: Convert to fraction form
    1,513.27/2,269.09 = 969.36/x
  3. Step 3: Cross multiply
    1,513.27x = 2,269.09 × 969.36
  4. Step 4: Simplify right side
    1,513.27x = 2,199,565.08
  5. Step 5: Solve for x
    x = 2,199,565.08/1,513.27
  6. Step 6: Final answer
    x = 1,453.52

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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.