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Finding the Fourth Proportional to 2,959, 4,083.96 and 1,717

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Solution

The fourth proportional to 2,959, 4,083.96 and 1,717 is: 2,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959 : 4,083.96 = 1,717 : x
  2. Step 2: Convert to fraction form
    2,959/4,083.96 = 1,717/x
  3. Step 3: Cross multiply
    2,959x = 4,083.96 × 1,717
  4. Step 4: Simplify right side
    2,959x = 7,012,159.32
  5. Step 5: Solve for x
    x = 7,012,159.32/2,959
  6. Step 6: Final answer
    x = 2,369.77

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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.