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Finding the Fourth Proportional to 1,645.24, 2,269.18 and 1,313.24

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Solution

The fourth proportional to 1,645.24, 2,269.18 and 1,313.24 is: 1,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.24 : 2,269.18 = 1,313.24 : x
  2. Step 2: Convert to fraction form
    1,645.24/2,269.18 = 1,313.24/x
  3. Step 3: Cross multiply
    1,645.24x = 2,269.18 × 1,313.24
  4. Step 4: Simplify right side
    1,645.24x = 2,979,977.94
  5. Step 5: Solve for x
    x = 2,979,977.94/1,645.24
  6. Step 6: Final answer
    x = 1,811.27

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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.