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Finding the Fourth Proportional to 1,643, 2,269.54 and 1,313.72

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Solution

The fourth proportional to 1,643, 2,269.54 and 1,313.72 is: 1,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643 : 2,269.54 = 1,313.72 : x
  2. Step 2: Convert to fraction form
    1,643/2,269.54 = 1,313.72/x
  3. Step 3: Cross multiply
    1,643x = 2,269.54 × 1,313.72
  4. Step 4: Simplify right side
    1,643x = 2,981,540.09
  5. Step 5: Solve for x
    x = 2,981,540.09/1,643
  6. Step 6: Final answer
    x = 1,814.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.