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Finding the Fourth Proportional to 3,126.33, 4,314.16 and 1,709.74

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Solution

The fourth proportional to 3,126.33, 4,314.16 and 1,709.74 is: 2,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.33 : 4,314.16 = 1,709.74 : x
  2. Step 2: Convert to fraction form
    3,126.33/4,314.16 = 1,709.74/x
  3. Step 3: Cross multiply
    3,126.33x = 4,314.16 × 1,709.74
  4. Step 4: Simplify right side
    3,126.33x = 7,376,083.27
  5. Step 5: Solve for x
    x = 7,376,083.27/3,126.33
  6. Step 6: Final answer
    x = 2,359.34

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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.