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Finding the Fourth Proportional to 3,051.97, 4,211.66 and 1,725.49

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Solution

The fourth proportional to 3,051.97, 4,211.66 and 1,725.49 is: 2,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.97 : 4,211.66 = 1,725.49 : x
  2. Step 2: Convert to fraction form
    3,051.97/4,211.66 = 1,725.49/x
  3. Step 3: Cross multiply
    3,051.97x = 4,211.66 × 1,725.49
  4. Step 4: Simplify right side
    3,051.97x = 7,267,177.21
  5. Step 5: Solve for x
    x = 7,267,177.21/3,051.97
  6. Step 6: Final answer
    x = 2,381.14

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