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Finding the Fourth Proportional to 2,072, 2,859.36 and 1,244.16

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Solution

The fourth proportional to 2,072, 2,859.36 and 1,244.16 is: 1,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072 : 2,859.36 = 1,244.16 : x
  2. Step 2: Convert to fraction form
    2,072/2,859.36 = 1,244.16/x
  3. Step 3: Cross multiply
    2,072x = 2,859.36 × 1,244.16
  4. Step 4: Simplify right side
    2,072x = 3,557,501.34
  5. Step 5: Solve for x
    x = 3,557,501.34/2,072
  6. Step 6: Final answer
    x = 1,716.94

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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.