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Finding the Fourth Proportional to 3,175.49, 4,381.95 and 1,759.07

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Solution

The fourth proportional to 3,175.49, 4,381.95 and 1,759.07 is: 2,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.49 : 4,381.95 = 1,759.07 : x
  2. Step 2: Convert to fraction form
    3,175.49/4,381.95 = 1,759.07/x
  3. Step 3: Cross multiply
    3,175.49x = 4,381.95 × 1,759.07
  4. Step 4: Simplify right side
    3,175.49x = 7,708,156.79
  5. Step 5: Solve for x
    x = 7,708,156.79/3,175.49
  6. Step 6: Final answer
    x = 2,427.39

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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.